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133740720 = 2434520639
BaseRepresentation
bin1111111100010…
…11100010110000
3100022122201210000
413332023202300
5233214200340
621134310000
73212530431
oct776134260
9308581700
10133740720
1169547423
1238958300
1321928329
1413a95488
15bb1bd30
hex7f8b8b0

133740720 has 100 divisors (see below), whose sum is σ = 464523840. Its totient is φ = 35662464.

The previous prime is 133740703. The next prime is 133740767. The reversal of 133740720 is 27047331.

It is a super-2 number, since 2×1337407202 = 35773160372236800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3840 + ... + 16799.

Almost surely, 2133740720 is an apocalyptic number.

133740720 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 133740720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232261920).

133740720 is an abundant number, since it is smaller than the sum of its proper divisors (330783120).

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

133740720 is a wasteful number, since it uses less digits than its factorization.

133740720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20664 (or 20649 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 133740720 is about 11564.6322898742. The cubic root of 133740720 is about 511.3927329868.

The spelling of 133740720 in words is "one hundred thirty-three million, seven hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 20639 41278 61917 82556 103195 123834 165112 185751 206390 247668 309585 330224 371502 412780 495336 557253 619170 743004 825560 928755 990672 1114506 1238340 1486008 1651120 1671759 1857510 2229012 2476680 2786265 2972016 3343518 3715020 4458024 4953360 5572530 6687036 7430040 8358795 8916048 11145060 13374072 14860080 16717590 22290120 26748144 33435180 44580240 66870360 133740720