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70368660 = 223253131249
BaseRepresentation
bin1000011000110…
…11110110010100
311220102002122200
410030123312110
5121003244120
610552124500
71513060305
oct414336624
9156362580
1070368660
11367a301a
121b696730
131176a57b
1494ba7ac
15629ee90
hex431bd94

70368660 has 72 divisors (see below), whose sum is σ = 214305000. Its totient is φ = 18690048.

The previous prime is 70368653. The next prime is 70368689. The reversal of 70368660 is 6686307.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 412164 + 69956496 = 642^2 + 8364^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55716 + ... + 56964.

Almost surely, 270368660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70368660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107152500).

70368660 is an abundant number, since it is smaller than the sum of its proper divisors (143936340).

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

70368660 is a wasteful number, since it uses less digits than its factorization.

70368660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 70368660 is about 8388.6029826187. The cubic root of 70368660 is about 412.8507650070.

The spelling of 70368660 in words is "seventy million, three hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1249 1252 1565 1878 2498 2817 3130 3747 3756 4695 4996 5634 6245 6260 7494 9390 11241 11268 12490 14085 14988 18735 18780 22482 24980 28170 37470 44964 56205 56340 74940 112410 224820 390937 781874 1172811 1563748 1954685 2345622 3518433 3909370 4691244 5864055 7036866 7818740 11728110 14073732 17592165 23456220 35184330 70368660