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133879480 = 23571493209
BaseRepresentation
bin1111111101011…
…01011010111000
3100022220210010021
413332231122320
5233233120410
621141300224
73213646120
oct776553270
9308823107
10133879480
11696316a9
1238a04674
1321976537
1413acdc80
15bb47eda
hex7fad6b8

133879480 has 64 divisors (see below), whose sum is σ = 346680000. Its totient is φ = 45579264.

The previous prime is 133879477. The next prime is 133879489. The reversal of 133879480 is 84978331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133879489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40116 + ... + 43324.

It is an arithmetic number, because the mean of its divisors is an integer number (5416875).

Almost surely, 2133879480 is an apocalyptic number.

133879480 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 133879480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173340000).

133879480 is an abundant number, since it is smaller than the sum of its proper divisors (212800520).

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

133879480 is a wasteful number, since it uses less digits than its factorization.

133879480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 133879480 is about 11570.6300606320. The cubic root of 133879480 is about 511.5695336112.

The spelling of 133879480 in words is "one hundred thirty-three million, eight hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 149 280 298 596 745 1043 1192 1490 2086 2980 3209 4172 5215 5960 6418 8344 10430 12836 16045 20860 22463 25672 32090 41720 44926 64180 89852 112315 128360 179704 224630 449260 478141 898520 956282 1912564 2390705 3346987 3825128 4781410 6693974 9562820 13387948 16734935 19125640 26775896 33469870 66939740 133879480