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70112064 = 2631189373
BaseRepresentation
bin1000010110111…
…01001101000000
311212221001200010
410023131031000
5120422041224
610542424520
71510641231
oct413351500
9155831603
1070112064
1136638260
121b592140
13116aa839
149451088
15624de29
hex42dd340

70112064 has 112 divisors (see below), whose sum is σ = 205191360. Its totient is φ = 20951040.

The previous prime is 70112051. The next prime is 70112087. The reversal of 70112064 is 46021107.

It is a self number, because there is not a number n which added to its sum of digits gives 70112064.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 187782 + ... + 188154.

Almost surely, 270112064 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 70112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102595680).

70112064 is an abundant number, since it is smaller than the sum of its proper divisors (135079296).

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

70112064 is a wasteful number, since it uses less digits than its factorization.

70112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 70112064 is about 8373.2946920552. The cubic root of 70112064 is about 412.3483402072.

The spelling of 70112064 in words is "seventy million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 89 96 132 176 178 192 264 267 352 356 373 528 534 704 712 746 979 1056 1068 1119 1424 1492 1958 2112 2136 2238 2848 2937 2984 3916 4103 4272 4476 5696 5874 5968 7832 8206 8544 8952 11748 11936 12309 15664 16412 17088 17904 23496 23872 24618 31328 32824 33197 35808 46992 49236 62656 65648 66394 71616 93984 98472 99591 131296 132788 187968 196944 199182 262592 265576 365167 393888 398364 531152 730334 787776 796728 1062304 1095501 1460668 1593456 2124608 2191002 2921336 3186912 4382004 5842672 6373824 8764008 11685344 17528016 23370688 35056032 70112064