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133965420 = 223513916063
BaseRepresentation
bin1111111110000…
…10011001101100
3100100002011000020
413333002121230
5233243343140
621143202140
73214454511
oct777023154
9310064006
10133965420
1169690226
1238a46350
13219a66a4
1413b13308
15bb636d0
hex7fc266c

133965420 has 48 divisors (see below), whose sum is σ = 377825280. Its totient is φ = 35464896.

The previous prime is 133965373. The next prime is 133965443. The reversal of 133965420 is 24569331.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309 + ... + 16371.

It is an arithmetic number, because the mean of its divisors is an integer number (7871360).

Almost surely, 2133965420 is an apocalyptic number.

133965420 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 133965420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188912640).

133965420 is an abundant number, since it is smaller than the sum of its proper divisors (243859860).

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

133965420 is a wasteful number, since it uses less digits than its factorization.

133965420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16214 (or 16212 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 133965420 is about 11574.3431779086. The cubic root of 133965420 is about 511.6789725431.

The spelling of 133965420 in words is "one hundred thirty-three million, nine hundred sixty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 16063 32126 48189 64252 80315 96378 160630 192756 240945 321260 481890 963780 2232757 4465514 6698271 8931028 11163785 13396542 22327570 26793084 33491355 44655140 66982710 133965420