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1070164992 = 210313127211
BaseRepresentation
bin111111110010010…
…110110000000000
32202120201000101110
4333302112300000
54142430234432
6254105203320
735343152361
oct7762266000
92676630343
101070164992
114aa097886
1225a490540
13140935b30
14a21b3b68
1563e40dcc
hex3fc96c00

1070164992 has 176 divisors, whose sum is σ = 3110653952. Its totient is φ = 325140480.

The previous prime is 1070164973. The next prime is 1070165017. The reversal of 1070164992 is 2994610701.

It is a super-2 number, since 2×10701649922 = 2290506220204720128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1070164992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5071767 + ... + 5071977.

Almost surely, 21070164992 is an apocalyptic number.

1070164992 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 1070164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555326976).

1070164992 is an abundant number, since it is smaller than the sum of its proper divisors (2040488960).

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

1070164992 is a wasteful number, since it uses less digits than its factorization.

1070164992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 1070164992 is about 32713.3763466873. The cubic root of 1070164992 is about 1022.8616908193.

The spelling of 1070164992 in words is "one billion, seventy million, one hundred sixty-four thousand, nine hundred ninety-two".