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70810400 = 255288513
BaseRepresentation
bin1000011100001…
…11101100100000
311221020112121102
410032013230200
5121111413100
611005413532
71516610213
oct416075440
9157215542
1070810400
1136a749a1
121b86a2a8
131189365b
14959377a
15633acd5
hex4387b20

70810400 has 36 divisors (see below), whose sum is σ = 172867842. Its totient is φ = 28323840.

The previous prime is 70810391. The next prime is 70810427. The reversal of 70810400 is 401807.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 63170704 + 7639696 = 7948^2 + 2764^2 .

It is a super-2 number, since 2×708104002 = 10028225496320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43457 + ... + 45056.

Almost surely, 270810400 is an apocalyptic number.

It is an amenable number.

70810400 is an abundant number, since it is smaller than the sum of its proper divisors (102057442).

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

70810400 is a wasteful number, since it uses less digits than its factorization.

70810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88533 (or 88520 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 70810400 is about 8414.8915619870. The cubic root of 70810400 is about 413.7128552556.

The spelling of 70810400 in words is "seventy million, eight hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 88513 177026 354052 442565 708104 885130 1416208 1770260 2212825 2832416 3540520 4425650 7081040 8851300 14162080 17702600 35405200 70810400