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79334920 = 23572172381
BaseRepresentation
bin1001011101010…
…00111000001000
312112021122001101
410232220320020
5130302204140
611512231144
71652223100
oct456507010
9175248041
1079334920
1140867555
122269b4b4
1313589752
14a772200
156e7199a
hex4ba8e08

79334920 has 96 divisors (see below), whose sum is σ = 219953880. Its totient is φ = 25589760.

The previous prime is 79334917. The next prime is 79334987. The reversal of 79334920 is 2943397.

It can be written as a sum of positive squares in 4 ways, for example, as 46867716 + 32467204 = 6846^2 + 5698^2 .

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 79334920.

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 23 ways as a sum of consecutive naturals, for example, 32130 + ... + 34510.

Almost surely, 279334920 is an apocalyptic number.

79334920 is a gapful number since it is divisible by the number (70) 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 79334920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109976940).

79334920 is an abundant number, since it is smaller than the sum of its proper divisors (140618960).

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

79334920 is a wasteful number, since it uses less digits than its factorization.

79334920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 79334920 is about 8907.0152127410. The cubic root of 79334920 is about 429.6895541808.

The spelling of 79334920 in words is "seventy-nine million, three hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2380 2381 3332 4165 4760 4762 6664 8330 9524 11905 16660 16667 19048 23810 33320 33334 40477 47620 66668 80954 83335 95240 116669 133336 161908 166670 202385 233338 283339 323816 333340 404770 466676 566678 583345 666680 809540 933352 1133356 1166690 1416695 1619080 1983373 2266712 2333380 2833390 3966746 4666760 5666780 7933492 9916865 11333560 15866984 19833730 39667460 79334920