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1053970280 = 2351119139907
BaseRepresentation
bin111110110100100…
…100111101101000
32201110020020102022
4332310210331220
54124304022110
6252330124012
735055412436
oct7664447550
92643206368
101053970280
114a0a36520
12254b80608
1313a48576c
149dd99d56
15627e2755
hex3ed24f68

1053970280 has 128 divisors (see below), whose sum is σ = 2745792000. Its totient is φ = 360080640.

The previous prime is 1053970259. The next prime is 1053970283. The reversal of 1053970280 is 820793501.

It is a super-2 number, since 2×10539702802 = 2221706702246556800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053970280.

It is not an unprimeable number, because it can be changed into a prime (1053970283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1161587 + ... + 1162493.

It is an arithmetic number, because the mean of its divisors is an integer number (21451500).

Almost surely, 21053970280 is an apocalyptic number.

1053970280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053970280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372896000).

1053970280 is an abundant number, since it is smaller than the sum of its proper divisors (1691821720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053970280 is a wasteful number, since it uses less digits than its factorization.

1053970280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 1053970280 is about 32464.9084397292. The cubic root of 1053970280 is about 1017.6758179479.

The spelling of 1053970280 in words is "one billion, fifty-three million, nine hundred seventy thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 139 152 190 209 220 278 380 418 440 556 695 760 836 907 1045 1112 1390 1529 1672 1814 2090 2641 2780 3058 3628 4180 4535 5282 5560 6116 7256 7645 8360 9070 9977 10564 12232 13205 15290 17233 18140 19954 21128 26410 29051 30580 34466 36280 39908 49885 52820 58102 61160 68932 79816 86165 99770 105640 116204 126073 137864 145255 172330 189563 199540 232408 252146 290510 344660 379126 399080 504292 581020 630365 689320 758252 947815 1008584 1162040 1260730 1386803 1516504 1895630 2395387 2521460 2773606 3791260 4790774 5042920 5547212 6934015 7582520 9581548 11094424 11976935 13868030 19163096 23953870 26349257 27736060 47907740 52698514 55472120 95815480 105397028 131746285 210794056 263492570 526985140 1053970280