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133504720 = 24513112739
BaseRepresentation
bin1111111010100…
…01111011010000
3100022012202001021
413331101323100
5233134122340
621125245224
73210525406
oct775217320
9308182037
10133504720
11693a6088
1238863814
1321874a9b
1413a33476
15bac1e4a
hex7f51ed0

133504720 has 40 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 52990080.

The previous prime is 133504711. The next prime is 133504741. The reversal of 133504720 is 27405331.

It is a tau number, because it is divible by the number of its divisors (40).

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, 4111 + ... + 16849.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812).

Almost surely, 2133504720 is an apocalyptic number.

133504720 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 133504720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

133504720 is an abundant number, since it is smaller than the sum of its proper divisors (179287760).

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

133504720 is a wasteful number, since it uses less digits than its factorization.

133504720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12883 (or 12877 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 133504720 is about 11554.4242608622. The cubic root of 133504720 is about 511.0917532401.

The spelling of 133504720 in words is "one hundred thirty-three million, five hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 12739 25478 50956 63695 101912 127390 203824 254780 509560 1019120 1668809 3337618 6675236 8344045 13350472 16688090 26700944 33376180 66752360 133504720