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1070657952 = 253713122557
BaseRepresentation
bin111111110100001…
…111000110100000
32202121122001121020
4333310033012200
54143042023302
6254123525440
735350304520
oct7764170640
92677561536
101070657952
114aa3a4191
1225a689880
13140a79320
14a22a1680
1563edbebc
hex3fd0f1a0

1070657952 has 96 divisors (see below), whose sum is σ = 3459076992. Its totient is φ = 282369024.

The previous prime is 1070657947. The next prime is 1070657953. The reversal of 1070657952 is 2597560701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10706579522 = 2292616900361668608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1070657953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52543 + ... + 70014.

It is an arithmetic number, because the mean of its divisors is an integer number (36032052).

Almost surely, 21070657952 is an apocalyptic number.

1070657952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1070657952 is an abundant number, since it is smaller than the sum of its proper divisors (2388419040).

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

1070657952 is a wasteful number, since it uses less digits than its factorization.

1070657952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122590 (or 122582 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 1070657952 is about 32720.9100117952. The cubic root of 1070657952 is about 1023.0187234576.

The spelling of 1070657952 in words is "one billion, seventy million, six hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 122557 245114 367671 490228 735342 857899 980456 1470684 1593241 1715798 1960912 2573697 2941368 3186482 3431596 3921824 4779723 5147394 5882736 6372964 6863192 9559446 10294788 11152687 11765472 12745928 13726384 19118892 20589576 22305374 25491856 27452768 33458061 38237784 41179152 44610748 50983712 66916122 76475568 82358304 89221496 133832244 152951136 178442992 267664488 356885984 535328976 1070657952