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1057237016 = 231121935659
BaseRepresentation
bin111111000001000…
…010100000011000
32201200101012112112
4333001002200120
54131123041031
6252524131452
735125236443
oct7701024030
92650335475
101057237016
114a2867900
12256096b88
1313b05a644
14a05aa65a
1562c3a62b
hex3f042818

1057237016 has 48 divisors (see below), whose sum is σ = 2190589800. Its totient is φ = 477987840.

The previous prime is 1057236991. The next prime is 1057237033. The reversal of 1057237016 is 6107327501.

It is a super-2 number, since 2×10572370162 = 2235500216001168512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183995 + ... + 189653.

Almost surely, 21057237016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057237016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095294900).

1057237016 is an abundant number, since it is smaller than the sum of its proper divisors (1133352784).

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

1057237016 is a wasteful number, since it uses less digits than its factorization.

1057237016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 1057237016 is about 32515.1813158100. The cubic root of 1057237016 is about 1018.7261478300.

The spelling of 1057237016 in words is "one billion, fifty-seven million, two hundred thirty-seven thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 88 121 193 242 386 484 772 968 1544 2123 4246 5659 8492 11318 16984 22636 23353 45272 46706 62249 93412 124498 186824 248996 497992 684739 1092187 1369478 2184374 2738956 4368748 5477912 8737496 12014057 24028114 48056228 96112456 132154627 264309254 528618508 1057237016