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70418720 = 255736029
BaseRepresentation
bin1000011001010…
…00000100100000
311220111122022202
410030220010200
5121011344340
610553152332
71513356251
oct414500440
9156448282
1070418720
1136827699
121b6bb6a8
13117872a8
1494d0b28
1562aec15
hex4328120

70418720 has 48 divisors (see below), whose sum is σ = 168671160. Its totient is φ = 27777024.

The previous prime is 70418713. The next prime is 70418753. The reversal of 70418720 is 2781407.

It can be written as a sum of positive squares in 4 ways, for example, as 68492176 + 1926544 = 8276^2 + 1388^2 .

It is a super-2 number, since 2×704187202 = 9917592252876800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8666 + ... + 14694.

Almost surely, 270418720 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 70418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84335580).

70418720 is an abundant number, since it is smaller than the sum of its proper divisors (98252440).

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

70418720 is a wasteful number, since it uses less digits than its factorization.

70418720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 70418720 is about 8391.5862624417. The cubic root of 70418720 is about 412.9486419613.

The spelling of 70418720 in words is "seventy million, four hundred eighteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 6029 11680 12058 24116 30145 48232 60290 96464 120580 192928 241160 440117 482320 880234 964640 1760468 2200585 3520936 4401170 7041872 8802340 14083744 17604680 35209360 70418720