Search a number
-
+
2528061720 = 2335194092711
BaseRepresentation
bin1001011010101111…
…0010100100011000
320112011222211201120
42112223302210120
520134140433340
61054505045240
7116435112222
oct22653624430
96464884646
102528061720
111088030208
125a6786820
133139a6112
1419da77412
15ebe204d0
hex96af2918

2528061720 has 128 divisors (see below), whose sum is σ = 8005824000. Its totient is φ = 636871680.

The previous prime is 2528061673. The next prime is 2528061727. The reversal of 2528061720 is 271608252.

2528061720 is nontrivially palindromic in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528061727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931165 + ... + 933875.

It is an arithmetic number, because the mean of its divisors is an integer number (62545500).

Almost surely, 22528061720 is an apocalyptic number.

2528061720 is a gapful number since it is divisible by the number (20) 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 2528061720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002912000).

2528061720 is an abundant number, since it is smaller than the sum of its proper divisors (5477762280).

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

2528061720 is a wasteful number, since it uses less digits than its factorization.

2528061720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2528061720 is about 50279.8341286047. The cubic root of 2528061720 is about 1362.2680077473.

Adding to 2528061720 its reverse (271608252), we get a palindrome (2799669972).

The spelling of 2528061720 in words is "two billion, five hundred twenty-eight million, sixty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 409 456 570 760 818 1140 1227 1636 2045 2280 2454 2711 3272 4090 4908 5422 6135 7771 8133 8180 9816 10844 12270 13555 15542 16266 16360 21688 23313 24540 27110 31084 32532 38855 40665 46626 49080 51509 54220 62168 65064 77710 81330 93252 103018 108440 116565 154527 155420 162660 186504 206036 233130 257545 309054 310840 325320 412072 466260 515090 618108 772635 932520 1030180 1108799 1236216 1545270 2060360 2217598 3090540 3326397 4435196 5543995 6181080 6652794 8870392 11087990 13305588 16631985 21067181 22175980 26611176 33263970 42134362 44351960 63201543 66527940 84268724 105335905 126403086 133055880 168537448 210671810 252806172 316007715 421343620 505612344 632015430 842687240 1264030860 2528061720