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272680704 = 2832196229
BaseRepresentation
bin10000010000001…
…100011100000000
3201000002121121100
4100100030130000
51024301240304
643020254400
76520514322
oct2020143400
9630077540
10272680704
1112aa1505a
12773a1400
134465403a
1428301612
1518e14439
hex1040c700

272680704 has 108 divisors (see below), whose sum is σ = 827717800. Its totient is φ = 86095872.

The previous prime is 272680703. The next prime is 272680711. The reversal of 272680704 is 407086272.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272680703) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40662 + ... + 46890.

Almost surely, 2272680704 is an apocalyptic number.

272680704 is a gapful number since it is divisible by the number (24) 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 272680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413858900).

272680704 is an abundant number, since it is smaller than the sum of its proper divisors (555037096).

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

272680704 is a wasteful number, since it uses less digits than its factorization.

272680704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 272680704 is about 16513.0464784667. The cubic root of 272680704 is about 648.4624042952.

The spelling of 272680704 in words is "two hundred seventy-two million, six hundred eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 6229 7296 10944 12458 14592 18687 21888 24916 37374 43776 49832 56061 74748 99664 112122 118351 149496 199328 224244 236702 298992 355053 398656 448488 473404 597984 710106 797312 896976 946808 1065159 1195968 1420212 1594624 1793952 1893616 2130318 2391936 2840424 3587904 3787232 4260636 4783872 5680848 7175808 7574464 8521272 11361696 14351616 15148928 17042544 22723392 30297856 34085088 45446784 68170176 90893568 136340352 272680704