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70117376 = 21176773
BaseRepresentation
bin1000010110111…
…10100000000000
311212221022221212
410023132200000
5120422224001
610542505252
71510662560
oct413364000
9155838855
1070117376
113664124a
121b595228
13116b0094
149452da0
1562507bb
hex42de800

70117376 has 96 divisors (see below), whose sum is σ = 164848320. Its totient is φ = 29196288.

The previous prime is 70117337. The next prime is 70117379. The reversal of 70117376 is 67371107.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (70117379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 960476 + ... + 960548.

It is an arithmetic number, because the mean of its divisors is an integer number (1717170).

Almost surely, 270117376 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 70117376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82424160).

70117376 is an abundant number, since it is smaller than the sum of its proper divisors (94730944).

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

70117376 is an equidigital number, since it uses as much as digits as its factorization.

70117376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 32.

The square root of 70117376 is about 8373.6118849634. The cubic root of 70117376 is about 412.3587537221.

The spelling of 70117376 in words is "seventy million, one hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 73 112 128 134 146 224 256 268 292 448 469 511 512 536 584 896 938 1022 1024 1072 1168 1792 1876 2044 2048 2144 2336 3584 3752 4088 4288 4672 4891 7168 7504 8176 8576 9344 9782 14336 15008 16352 17152 18688 19564 30016 32704 34237 34304 37376 39128 60032 65408 68474 68608 74752 78256 120064 130816 136948 137216 149504 156512 240128 261632 273896 313024 480256 523264 547792 626048 960512 1046528 1095584 1252096 2191168 2504192 4382336 5008384 8764672 10016768 17529344 35058688 70117376