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133392980 = 22576714221
BaseRepresentation
bin1111111001101…
…10101001010100
3100022000001202202
413330312221110
5233122033410
621123024032
73206551550
oct774665124
9308001682
10133392980
116932a136
123880b018
1321835c76
1413a04860
15ba9dca5
hex7f36a54

133392980 has 48 divisors (see below), whose sum is σ = 324944256. Its totient is φ = 45048960.

The previous prime is 133392979. The next prime is 133392991. The reversal of 133392980 is 89293331.

It is a super-2 number, since 2×1333929802 = 35587374226560800, which contains 22 as substring.

It is a congruent number.

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, 2270 + ... + 16490.

It is an arithmetic number, because the mean of its divisors is an integer number (6769672).

Almost surely, 2133392980 is an apocalyptic number.

133392980 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 133392980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162472128).

133392980 is an abundant number, since it is smaller than the sum of its proper divisors (191551276).

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

133392980 is a wasteful number, since it uses less digits than its factorization.

133392980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14304 (or 14302 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 133392980 is about 11549.5878714351. The cubic root of 133392980 is about 510.9491232443.

The spelling of 133392980 in words is "one hundred thirty-three million, three hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 9380 14221 28442 56884 71105 99547 142210 199094 284420 398188 497735 952807 995470 1905614 1990940 3811228 4764035 6669649 9528070 13339298 19056140 26678596 33348245 66696490 133392980