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133940736 = 29339689
BaseRepresentation
bin1111111101111…
…00011000000000
3100100000220011000
413332330120000
5233242100421
621142452000
73214322526
oct776743000
9310026130
10133940736
1169673726
1238a34000
1321998397
1413b08316
15bb5b226
hex7fbc600

133940736 has 80 divisors (see below), whose sum is σ = 396514800. Its totient is φ = 44642304.

The previous prime is 133940693. The next prime is 133940783. The reversal of 133940736 is 637049331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133940736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8980 + ... + 18668.

It is an arithmetic number, because the mean of its divisors is an integer number (4956435).

Almost surely, 2133940736 is an apocalyptic number.

133940736 is a gapful number since it is divisible by the number (16) 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 133940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198257400).

133940736 is an abundant number, since it is smaller than the sum of its proper divisors (262574064).

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

133940736 is an frugal number, since it uses more digits than its factorization.

133940736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9716 (or 9694 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 133940736 is about 11573.2768047775. The cubic root of 133940736 is about 511.6475438864.

The spelling of 133940736 in words is "one hundred thirty-three million, nine hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 9689 13824 19378 29067 38756 58134 77512 87201 116268 155024 174402 232536 261603 310048 348804 465072 523206 620096 697608 930144 1046412 1240192 1395216 1860288 2092824 2480384 2790432 3720576 4185648 4960768 5580864 7441152 8371296 11161728 14882304 16742592 22323456 33485184 44646912 66970368 133940736