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70838240 = 2551123659
BaseRepresentation
bin1000011100011…
…10011111100000
311221021221210112
410032032133200
5121113310430
611010150452
71520054324
oct416163740
9157257715
1070838240
1136a93900
121b882428
13118a3225
14959d984
156344195
hex438e7e0

70838240 has 72 divisors (see below), whose sum is σ = 184002840. Its totient is φ = 25752320.

The previous prime is 70838237. The next prime is 70838267. The reversal of 70838240 is 4283807.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 70838197 and 70838206.

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 11 ways as a sum of consecutive naturals, for example, 17531 + ... + 21189.

It is an arithmetic number, because the mean of its divisors is an integer number (2555595).

Almost surely, 270838240 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 70838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92001420).

70838240 is an abundant number, since it is smaller than the sum of its proper divisors (113164600).

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

70838240 is a wasteful number, since it uses less digits than its factorization.

70838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 70838240 is about 8416.5456096905. The cubic root of 70838240 is about 413.7670669569.

The spelling of 70838240 in words is "seventy million, eight hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3659 3872 4840 7318 9680 14636 18295 19360 29272 36590 40249 58544 73180 80498 117088 146360 160996 201245 292720 321992 402490 442739 585440 643984 804980 885478 1287968 1609960 1770956 2213695 3219920 3541912 4427390 6439840 7083824 8854780 14167648 17709560 35419120 70838240