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1070077092 = 223722278017
BaseRepresentation
bin111111110010000…
…001010010100100
32202120112112210220
4333302001102210
54142414431332
6254103244340
735342335200
oct7762012244
92676475726
101070077092
114aa037837
1225a4496b0
13140904b16
14a218db00
1563e24d2c
hex3fc814a4

1070077092 has 72 divisors (see below), whose sum is σ = 2917653984. Its totient is φ = 304351488.

The previous prime is 1070077079. The next prime is 1070077097. The reversal of 1070077092 is 2907700701.

It is a super-2 number, since 2×10700770922 = 2290129965646352928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070077097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129468 + ... + 137484.

It is an arithmetic number, because the mean of its divisors is an integer number (40522972).

Almost surely, 21070077092 is an apocalyptic number.

1070077092 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 1070077092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458826992).

1070077092 is an abundant number, since it is smaller than the sum of its proper divisors (1847576892).

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

1070077092 is a wasteful number, since it uses less digits than its factorization.

1070077092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 1070077092 is about 32712.0328319718. The cubic root of 1070077092 is about 1022.8336851676.

Adding to 1070077092 its reverse (2907700701), we get a palindrome (3977777793).

The spelling of 1070077092 in words is "one billion, seventy million, seventy-seven thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 227 294 454 588 681 908 1362 1589 2724 3178 4767 6356 8017 9534 11123 16034 19068 22246 24051 32068 33369 44492 48102 56119 66738 96204 112238 133476 168357 224476 336714 392833 673428 785666 1178499 1571332 1819859 2356998 3639718 4713996 5459577 7279436 10919154 12739013 21838308 25478026 38217039 50956052 76434078 89173091 152868156 178346182 267519273 356692364 535038546 1070077092