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70942400 = 2652101439
BaseRepresentation
bin1000011101001…
…11111011000000
311221111020200022
410032213323000
5121130124100
611012313012
71521000104
oct416477300
9157436608
1070942400
1137055091
121b912768
131190b769
1495c9904
156364e85
hex43a7ec0

70942400 has 84 divisors (see below), whose sum is σ = 176692560. Its totient is φ = 28032000.

The previous prime is 70942397. The next prime is 70942427. The reversal of 70942400 is 424907.

It is a self number, because there is not a number n which added to its sum of digits gives 70942400.

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 11 ways as a sum of consecutive naturals, for example, 161381 + ... + 161819.

Almost surely, 270942400 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 70942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88346280).

70942400 is an abundant number, since it is smaller than the sum of its proper divisors (105750160).

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

70942400 is a wasteful number, since it uses less digits than its factorization.

70942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 70942400 is about 8422.7311485052. The cubic root of 70942400 is about 413.9697676041.

The spelling of 70942400 in words is "seventy million, nine hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 160 200 202 320 400 404 439 505 800 808 878 1010 1600 1616 1756 2020 2195 2525 3232 3512 4040 4390 5050 6464 7024 8080 8780 10100 10975 14048 16160 17560 20200 21950 28096 32320 35120 40400 43900 44339 70240 80800 87800 88678 140480 161600 175600 177356 221695 351200 354712 443390 702400 709424 886780 1108475 1418848 1773560 2216950 2837696 3547120 4433900 7094240 8867800 14188480 17735600 35471200 70942400