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71304720 = 2435192823
BaseRepresentation
bin1000100000000…
…00011000010000
311222011122200120
410100000120100
5121223222340
611024150240
71524036324
oct420003020
9158148616
1071304720
1137282323
121ba68380
1311a07656
149681984
1563d74d0
hex4400610

71304720 has 120 divisors (see below), whose sum is σ = 233574336. Its totient is φ = 17991936.

The previous prime is 71304713. The next prime is 71304733. The reversal of 71304720 is 2740317.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86229 + ... + 87051.

Almost surely, 271304720 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 71304720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116787168).

71304720 is an abundant number, since it is smaller than the sum of its proper divisors (162269616).

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

71304720 is a wasteful number, since it uses less digits than its factorization.

71304720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 71304720 is about 8444.2122190291. The cubic root of 71304720 is about 414.6733191426.

The spelling of 71304720 in words is "seventy-one million, three hundred four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 361 380 456 570 722 760 823 912 1083 1140 1444 1520 1646 1805 2166 2280 2469 2888 3292 3610 4115 4332 4560 4938 5415 5776 6584 7220 8230 8664 9876 10830 12345 13168 14440 15637 16460 17328 19752 21660 24690 28880 31274 32920 39504 43320 46911 49380 62548 65840 78185 86640 93822 98760 125096 156370 187644 197520 234555 250192 297103 312740 375288 469110 594206 625480 750576 891309 938220 1188412 1250960 1485515 1782618 1876440 2376824 2971030 3565236 3752880 4456545 4753648 5942060 7130472 8913090 11884120 14260944 17826180 23768240 35652360 71304720