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1070090736 = 24311133147107
BaseRepresentation
bin111111110010000…
…100100111110000
32202120120020112020
4333302010213300
54142420400421
6254103431440
735342423031
oct7762044760
92676506466
101070090736
114aa047010
1225a455580
1314090b0b0
14a2194a88
1563e28dc6
hex3fc849f0

1070090736 has 320 divisors, whose sum is σ = 3455778816. Its totient is φ = 280857600.

The previous prime is 1070090669. The next prime is 1070090737. The reversal of 1070090736 is 6370900701.

It is a super-2 number, since 2×10700907362 = 2290188366546043392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1070090697 and 1070090706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070090737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10000795 + ... + 10000901.

Almost surely, 21070090736 is an apocalyptic number.

1070090736 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 1070090736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727889408).

1070090736 is an abundant number, since it is smaller than the sum of its proper divisors (2385688080).

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

1070090736 is a wasteful number, since it uses less digits than its factorization.

1070090736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 1070090736 is about 32712.2413784198. The cubic root of 1070090736 is about 1022.8380323570.

The spelling of 1070090736 in words is "one billion, seventy million, ninety thousand, seven hundred thirty-six".