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1053757056 = 27311222679
BaseRepresentation
bin111110110011110…
…000111010000000
32201102211101221010
4332303300322000
54124230211211
6252321400520
735053534002
oct7663607200
92642741833
101053757056
114a0900300
12254a99140
1313a40c6b1
149dd42372
156279e4a6
hex3ecf0e80

1053757056 has 96 divisors (see below), whose sum is σ = 3076768800. Its totient is φ = 319306240.

The previous prime is 1053756947. The next prime is 1053757073. The reversal of 1053757056 is 6507573501.

It is a happy number.

1053757056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10537570562 = 2220807866139574272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35125 + ... + 57803.

It is an arithmetic number, because the mean of its divisors is an integer number (32049675).

Almost surely, 21053757056 is an apocalyptic number.

1053757056 is a gapful number since it is divisible by the number (16) 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 1053757056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538384400).

1053757056 is an abundant number, since it is smaller than the sum of its proper divisors (2023011744).

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

1053757056 is a wasteful number, since it uses less digits than its factorization.

1053757056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22718 (or 22695 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 39.

The square root of 1053757056 is about 32461.6243586177. The cubic root of 1053757056 is about 1017.6071861761.

The spelling of 1053757056 in words is "one billion, fifty-three million, seven hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 22679 23232 45358 46464 68037 90716 136074 181432 249469 272148 362864 498938 544296 725728 748407 997876 1088592 1451456 1496814 1995752 2177184 2744159 2902912 2993628 3991504 4354368 5488318 5987256 7983008 8232477 8708736 10976636 11974512 15966016 16464954 21953272 23949024 31932032 32929908 43906544 47898048 65859816 87813088 95796096 131719632 175626176 263439264 351252352 526878528 1053757056