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133707280 = 24572231483
BaseRepresentation
bin1111111100000…
…11011000010000
3100022121000220111
413332003120100
5233212113110
621133451104
73212331100
oct776033020
9308530814
10133707280
1169524293
1238940a94
1321916045
1413a87200
15bb11e8a
hex7f83610

133707280 has 120 divisors (see below), whose sum is σ = 377600832. Its totient is φ = 43819776.

The previous prime is 133707269. The next prime is 133707317. The reversal of 133707280 is 82707331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89419 + ... + 90901.

Almost surely, 2133707280 is an apocalyptic number.

133707280 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 133707280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188800416).

133707280 is an abundant number, since it is smaller than the sum of its proper divisors (243893552).

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

133707280 is a wasteful number, since it uses less digits than its factorization.

133707280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 133707280 is about 11563.1864120579. The cubic root of 133707280 is about 511.3501072293.

The spelling of 133707280 in words is "one hundred thirty-three million, seven hundred seven thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 115 140 161 184 196 230 245 280 322 368 392 460 490 560 644 784 805 920 980 1127 1288 1483 1610 1840 1960 2254 2576 2966 3220 3920 4508 5635 5932 6440 7415 9016 10381 11270 11864 12880 14830 18032 20762 22540 23728 29660 34109 41524 45080 51905 59320 68218 72667 83048 90160 103810 118640 136436 145334 166096 170545 207620 238763 272872 290668 341090 363335 415240 477526 545744 581336 682180 726670 830480 955052 1162672 1193815 1364360 1453340 1671341 1910104 2387630 2728720 2906680 3342682 3820208 4775260 5813360 6685364 8356705 9550520 13370728 16713410 19101040 26741456 33426820 66853640 133707280