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133045740 = 22345174831
BaseRepresentation
bin1111110111000…
…01110111101100
3100021100102110000
413323201313230
5233024430430
621111344300
73203604312
oct773416754
9307312400
10133045740
1169112263
1238682090
1321743bb9
14139540b2
15ba30e60
hex7ee1dec

133045740 has 120 divisors (see below), whose sum is σ = 442012032. Its totient is φ = 33384960.

The previous prime is 133045739. The next prime is 133045751. The reversal of 133045740 is 47540331.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 25125 + ... + 29955.

Almost surely, 2133045740 is an apocalyptic number.

133045740 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 133045740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221006016).

133045740 is an abundant number, since it is smaller than the sum of its proper divisors (308966292).

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

133045740 is a wasteful number, since it uses less digits than its factorization.

133045740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 133045740 is about 11534.5455047002. The cubic root of 133045740 is about 510.5053813829.

It can be divided in two parts, 13304 and 5740, that added together give a square (19044 = 1382).

The spelling of 133045740 in words is "one hundred thirty-three million, forty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 4831 5508 6885 9180 9662 13770 14493 19324 24155 27540 28986 43479 48310 57972 72465 82127 86958 96620 130437 144930 164254 173916 217395 246381 260874 289860 328508 391311 410635 434790 492762 521748 652185 739143 782622 821270 869580 985524 1231905 1304370 1478286 1565244 1642540 1956555 2217429 2463810 2608740 2956572 3695715 3913110 4434858 4927620 6652287 7391430 7826220 8869716 11087145 13304574 14782860 22174290 26609148 33261435 44348580 66522870 133045740