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1052705772 = 223233786771
BaseRepresentation
bin111110101111110…
…000001111101100
32201100211222211200
4332233300033230
54123443041042
6252243045500
735041565016
oct7657601754
92640758750
101052705772
114a0252478
12254670890
1313a132031
149db4b1b6
1562642c4c
hex3ebf03ec

1052705772 has 36 divisors (see below), whose sum is σ = 2668933176. Its totient is φ = 349856640.

The previous prime is 1052705761. The next prime is 1052705777. The reversal of 1052705772 is 2775072501.

1052705772 is a `hidden beast` number, since 10 + 5 + 2 + 70 + 577 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10527057722 = 2216378884804231968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1052705777) 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 11 ways as a sum of consecutive naturals, for example, 31254 + ... + 55517.

Almost surely, 21052705772 is an apocalyptic number.

1052705772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1052705772 is an abundant number, since it is smaller than the sum of its proper divisors (1616227404).

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

1052705772 is a wasteful number, since it uses less digits than its factorization.

1052705772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87118 (or 87113 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 1052705772 is about 32445.4275977371. The cubic root of 1052705772 is about 1017.2686672529.

The spelling of 1052705772 in words is "one billion, fifty-two million, seven hundred five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 337 674 1011 1348 2022 3033 4044 6066 12132 86771 173542 260313 347084 520626 780939 1041252 1561878 3123756 29241827 58483654 87725481 116967308 175450962 263176443 350901924 526352886 1052705772