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70839104 = 2674461
BaseRepresentation
bin1000011100011…
…10101101000000
311221021222222112
410032032231000
5121113322404
611010154452
71520060000
oct416165500
9157258875
1070839104
1136a94516
121b882a28
13118a373b
1495a0000
15634456e
hex438eb40

70839104 has 70 divisors (see below), whose sum is σ = 164345874. Its totient is φ = 30293760.

The previous prime is 70839101. The next prime is 70839107. The reversal of 70839104 is 40193807.

It is an interprime number because it is at equal distance from previous prime (70839101) and next prime (70839107).

It can be written as a sum of positive squares in only one way, i.e., 55472704 + 15366400 = 7448^2 + 3920^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70839101) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 153434 + ... + 153894.

Almost surely, 270839104 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 70839104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82172937).

70839104 is an abundant number, since it is smaller than the sum of its proper divisors (93506770).

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

70839104 is an frugal number, since it uses more digits than its factorization.

70839104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 70839104 is about 8416.5969370049. The cubic root of 70839104 is about 413.7687491618.

The spelling of 70839104 in words is "seventy million, eight hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 461 686 784 922 1372 1568 1844 2401 2744 3136 3227 3688 4802 5488 6454 7376 9604 10976 12908 14752 19208 21952 22589 25816 29504 38416 45178 51632 76832 90356 103264 153664 158123 180712 206528 316246 361424 632492 722848 1106861 1264984 1445696 2213722 2529968 4427444 5059936 8854888 10119872 17709776 35419552 70839104