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70292096 = 277194129
BaseRepresentation
bin1000011000010…
…01001010000000
311220021012121222
410030021022000
5120443321341
610550334212
71512321140
oct414111200
9156235558
1070292096
1136750546
121b65a368
1311741774
14949a920
15628744b
hex4309280

70292096 has 64 divisors (see below), whose sum is σ = 168504000. Its totient is φ = 28532736.

The previous prime is 70292083. The next prime is 70292107. The reversal of 70292096 is 69029207.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14960 + ... + 19088.

It is an arithmetic number, because the mean of its divisors is an integer number (2632875).

Almost surely, 270292096 is an apocalyptic number.

70292096 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70292096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84252000).

70292096 is an abundant number, since it is smaller than the sum of its proper divisors (98211904).

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

70292096 is a wasteful number, since it uses less digits than its factorization.

70292096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 70292096 is about 8384.0381678521. The cubic root of 70292096 is about 412.7009777909.

The spelling of 70292096 in words is "seventy million, two hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4129 4256 8258 8512 16516 17024 28903 33032 57806 66064 78451 115612 132128 156902 231224 264256 313804 462448 528512 549157 627608 924896 1098314 1255216 1849792 2196628 2510432 3699584 4393256 5020864 8786512 10041728 17573024 35146048 70292096