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133207480 = 235741973
BaseRepresentation
bin1111111000010…
…01010110111000
3100021122122022101
413330021112320
5233100114410
621115033144
73205150000
oct774112670
9307578271
10133207480
116921282a
123873b7b4
132179c6c3
1413997000
15ba63d3a
hex7f095b8

133207480 has 160 divisors (see below), whose sum is σ = 373093200. Its totient is φ = 42674688.

The previous prime is 133207463. The next prime is 133207517. The reversal of 133207480 is 84702331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1824724 + ... + 1824796.

Almost surely, 2133207480 is an apocalyptic number.

133207480 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 133207480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186546600).

133207480 is an abundant number, since it is smaller than the sum of its proper divisors (239885720).

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

133207480 is an equidigital number, since it uses as much as digits as its factorization.

133207480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 133207480 is about 11541.5544880228. The cubic root of 133207480 is about 510.7121666684.

The spelling of 133207480 in words is "one hundred thirty-three million, two hundred seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 73 76 95 98 133 140 146 152 190 196 245 266 280 292 343 365 380 392 490 511 532 584 665 686 730 760 931 980 1022 1064 1330 1372 1387 1460 1715 1862 1960 2044 2401 2555 2660 2744 2774 2920 3430 3577 3724 4088 4655 4802 5110 5320 5548 6517 6860 6935 7154 7448 9310 9604 9709 10220 11096 12005 13034 13720 13870 14308 17885 18620 19208 19418 20440 24010 25039 26068 27740 28616 32585 35770 37240 38836 45619 48020 48545 50078 52136 55480 65170 67963 71540 77672 91238 96040 97090 100156 125195 130340 135926 143080 175273 182476 194180 200312 228095 250390 260680 271852 339815 350546 364952 388360 456190 475741 500780 543704 679630 701092 876365 912380 951482 1001560 1359260 1402184 1752730 1824760 1902964 2378705 2718520 3330187 3505460 3805928 4757410 6660374 7010920 9514820 13320748 16650935 19029640 26641496 33301870 66603740 133207480