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1070742960 = 2432571712497
BaseRepresentation
bin111111110100100…
…011110110110000
32202121210101012200
4333310203312300
54143102233320
6254125423200
735351110410
oct7764436660
92677711180
101070742960
114aa452041
1225a70ab00
13140aa8c21
14a22c4640
1564007290
hex3fd23db0

1070742960 has 240 divisors, whose sum is σ = 4351703616. Its totient is φ = 230326272.

The previous prime is 1070742947. The next prime is 1070742971. The reversal of 1070742960 is 692470701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10707429602 = 2292980972779123200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79432 + ... + 91928.

Almost surely, 21070742960 is an apocalyptic number.

1070742960 is a gapful number since it is divisible by the number (10) 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 1070742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175851808).

1070742960 is an abundant number, since it is smaller than the sum of its proper divisors (3280960656).

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

1070742960 is a wasteful number, since it uses less digits than its factorization.

1070742960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12540 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1070742960 is about 32722.2089718894. The cubic root of 1070742960 is about 1023.0457979227.

The spelling of 1070742960 in words is "one billion, seventy million, seven hundred forty-two thousand, nine hundred sixty".