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1070707104 = 253210973389
BaseRepresentation
bin111111110100011…
…011000110100000
32202121201120000200
4333310123012200
54143100111404
6254124545200
735350601025
oct7764330640
92677646020
101070707104
114aa428105
1225a6b2200
13140a957cc
14a22b554c
1563eeb839
hex3fd1b1a0

1070707104 has 72 divisors (see below), whose sum is σ = 3048498180. Its totient is φ = 356471808.

The previous prime is 1070707103. The next prime is 1070707111. The reversal of 1070707104 is 4017070701.

It can be written as a sum of positive squares in 2 ways, for example, as 1030410000 + 40297104 = 32100^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10707071042 = 2292827405112133632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070707103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314242 + ... + 317630.

Almost surely, 21070707104 is an apocalyptic number.

It is an amenable number.

1070707104 is an abundant number, since it is smaller than the sum of its proper divisors (1977791076).

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

1070707104 is a wasteful number, since it uses less digits than its factorization.

1070707104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 1070707104 is about 32721.6610825306. The cubic root of 1070707104 is about 1023.0343782073.

Adding to 1070707104 its reverse (4017070701), we get a palindrome (5087777805).

The spelling of 1070707104 in words is "one billion, seventy million, seven hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1097 2194 3291 3389 4388 6582 6778 8776 9873 10167 13164 13556 17552 19746 20334 26328 27112 30501 35104 39492 40668 52656 54224 61002 78984 81336 105312 108448 122004 157968 162672 244008 315936 325344 488016 976032 3717733 7435466 11153199 14870932 22306398 29741864 33459597 44612796 59483728 66919194 89225592 118967456 133838388 178451184 267676776 356902368 535353552 1070707104