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1055054832 = 243132831567
BaseRepresentation
bin111110111000101…
…101101111110000
32201112021100010220
4332320231233300
54130043223312
6252405253040
735100550416
oct7670555760
92645240126
101055054832
114a1607347
12255404180
1313a775300
14a019d2b6
1562958c8c
hex3ee2dbf0

1055054832 has 120 divisors (see below), whose sum is σ = 2988808704. Its totient is φ = 320516352.

The previous prime is 1055054821. The next prime is 1055054839. The reversal of 1055054832 is 2384505501.

It is a super-2 number, since 2×10550548322 = 2226281397053096448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055054793 and 1055054802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055054839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672513 + ... + 674079.

Almost surely, 21055054832 is an apocalyptic number.

1055054832 is a gapful number since it is divisible by the number (12) 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 1055054832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494404352).

1055054832 is an abundant number, since it is smaller than the sum of its proper divisors (1933753872).

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

1055054832 is a wasteful number, since it uses less digits than its factorization.

1055054832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 1055054832 is about 32481.6075956841. The cubic root of 1055054832 is about 1018.0247664266.

The spelling of 1055054832 in words is "one billion, fifty-five million, fifty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 169 208 249 312 332 338 498 507 624 664 676 996 1014 1079 1328 1352 1567 1992 2028 2158 2704 3134 3237 3984 4056 4316 4701 6268 6474 8112 8632 9402 12536 12948 14027 17264 18804 20371 25072 25896 28054 37608 40742 42081 51792 56108 61113 75216 81484 84162 112216 122226 130061 162968 168324 224432 244452 260122 264823 325936 336648 390183 488904 520244 529646 673296 780366 794469 977808 1040488 1059292 1560732 1588938 1690793 2080976 2118584 3121464 3177876 3381586 4237168 5072379 6242928 6355752 6763172 10144758 12711504 13526344 20289516 21980309 27052688 40579032 43960618 65940927 81158064 87921236 131881854 175842472 263763708 351684944 527527416 1055054832