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133925680 = 24571941307
BaseRepresentation
bin1111111101110…
…00101100110000
3100100000010111101
413332320230300
5233241110210
621142254144
73214230610
oct776705460
9310003441
10133925680
1169663389
1238a27354
1321991585
1413b02a40
15bb56a3a
hex7fb8b30

133925680 has 160 divisors (see below), whose sum is σ = 384975360. Its totient is φ = 42301440.

The previous prime is 133925663. The next prime is 133925689. The reversal of 133925680 is 86529331.

It is not an unprimeable number, because it can be changed into a prime (133925689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436087 + ... + 436393.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2133925680 is an apocalyptic number.

133925680 is a gapful number since it is divisible by the number (10) 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 133925680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487680).

133925680 is an abundant number, since it is smaller than the sum of its proper divisors (251049680).

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

133925680 is a wasteful number, since it uses less digits than its factorization.

133925680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 133925680 is about 11572.6263224905. The cubic root of 133925680 is about 511.6283720888.

The spelling of 133925680 in words is "one hundred thirty-three million, nine hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 41 56 70 76 80 82 95 112 133 140 152 164 190 205 266 280 287 304 307 328 380 410 532 560 574 614 656 665 760 779 820 1064 1148 1228 1330 1435 1520 1535 1558 1640 2128 2149 2296 2456 2660 2870 3070 3116 3280 3895 4298 4592 4912 5320 5453 5740 5833 6140 6232 7790 8596 10640 10745 10906 11480 11666 12280 12464 12587 15580 17192 21490 21812 22960 23332 24560 25174 27265 29165 31160 34384 40831 42980 43624 46664 50348 54530 58330 62320 62935 81662 85960 87248 88109 93328 100696 109060 116660 125870 163324 171920 176218 201392 204155 218120 233320 239153 251740 326648 352436 408310 436240 440545 466640 478306 503480 653296 704872 816620 881090 956612 1006960 1195765 1409744 1633240 1674071 1762180 1913224 2391530 3266480 3348142 3524360 3826448 4783060 6696284 7048720 8370355 9566120 13392568 16740710 19132240 26785136 33481420 66962840 133925680