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126155920 = 24511232271
BaseRepresentation
bin1111000010011…
…11110010010000
322210101101101111
413201033302100
5224243442140
620303543104
73061210342
oct741176220
9283341344
10126155920
11652368a0
12362baa94
13201a0b97
1412a7d292
15b11e7ea
hex784fc90

126155920 has 120 divisors (see below), whose sum is σ = 335728512. Its totient is φ = 43718400.

The previous prime is 126155891. The next prime is 126155941. The reversal of 126155920 is 29551621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465385 + ... + 465655.

Almost surely, 2126155920 is an apocalyptic number.

126155920 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 126155920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167864256).

126155920 is an abundant number, since it is smaller than the sum of its proper divisors (209572592).

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

126155920 is a wasteful number, since it uses less digits than its factorization.

126155920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 126155920 is about 11231.9152418454. The cubic root of 126155920 is about 501.5365001646.

The spelling of 126155920 in words is "one hundred twenty-six million, one hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 271 368 440 460 506 529 542 880 920 1012 1058 1084 1265 1355 1840 2024 2116 2168 2530 2645 2710 2981 4048 4232 4336 5060 5290 5420 5819 5962 6233 8464 10120 10580 10840 11638 11924 12466 14905 20240 21160 21680 23276 23848 24932 29095 29810 31165 42320 46552 47696 49864 58190 59620 62330 68563 93104 99728 116380 119240 124660 137126 143359 232760 238480 249320 274252 286718 342815 465520 498640 548504 573436 685630 716795 1097008 1146872 1371260 1433590 1576949 2293744 2742520 2867180 3153898 5485040 5734360 6307796 7884745 11468720 12615592 15769490 25231184 31538980 63077960 126155920