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1070657120 = 25513514739
BaseRepresentation
bin111111110100001…
…110111001100000
32202121122000110102
4333310032321200
54143042011440
6254123521532
735350302221
oct7764167140
92677560412
101070657120
114aa3a35a5
1225a6892a8
13140a78b30
14a22a1248
1563edbb15
hex3fd0ee60

1070657120 has 48 divisors (see below), whose sum is σ = 2724004080. Its totient is φ = 395318784.

The previous prime is 1070657111. The next prime is 1070657141. The reversal of 1070657120 is 217560701.

It is a super-2 number, since 2×10706571202 = 2292613337213388800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255290 + ... + 259449.

It is an arithmetic number, because the mean of its divisors is an integer number (56750085).

Almost surely, 21070657120 is an apocalyptic number.

1070657120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070657120 is an abundant number, since it is smaller than the sum of its proper divisors (1653346960).

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

1070657120 is a wasteful number, since it uses less digits than its factorization.

1070657120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514767 (or 514759 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 1070657120 is about 32720.8972982099. The cubic root of 1070657120 is about 1023.0184584642.

The spelling of 1070657120 in words is "one billion, seventy million, six hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 514739 1029478 2058956 2573695 4117912 5147390 6691607 8235824 10294780 13383214 16471648 20589560 26766428 33458035 41179120 53532856 66916070 82358240 107065712 133832140 214131424 267664280 535328560 1070657120