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70606400 = 265244129
BaseRepresentation
bin1000011010101…
…01111001000000
311220212011202212
410031111321000
5121033401100
611001201252
71515100364
oct415257100
9156764685
1070606400
11369456a7
121b790228
1311821847
14953d2a4
1562ea635
hex4355e40

70606400 has 42 divisors (see below), whose sum is σ = 173739810. Its totient is φ = 28241920.

The previous prime is 70606391. The next prime is 70606439. The reversal of 70606400 is 460607.

It can be written as a sum of positive squares in 3 ways, for example, as 984064 + 69622336 = 992^2 + 8344^2 .

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, 20465 + ... + 23664.

Almost surely, 270606400 is an apocalyptic number.

It is an amenable number.

70606400 is an abundant number, since it is smaller than the sum of its proper divisors (103133410).

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

70606400 is a wasteful number, since it uses less digits than its factorization.

70606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44151 (or 44136 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 70606400 is about 8402.7614508565. The cubic root of 70606400 is about 413.3151801485.

The spelling of 70606400 in words is "seventy million, six hundred six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 44129 88258 176516 220645 353032 441290 706064 882580 1103225 1412128 1765160 2206450 2824256 3530320 4412900 7060640 8825800 14121280 17651600 35303200 70606400