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133327992 = 23371077417
BaseRepresentation
bin1111111001001…
…10110001111000
3100021212202121210
413330212301320
5233112443432
621121403120
73206161230
oct774466170
9307782553
10133327992
1169295326
12387994a0
1321812505
14139c8cc0
15ba898cc
hex7f26c78

133327992 has 64 divisors (see below), whose sum is σ = 384549120. Its totient is φ = 37732608.

The previous prime is 133327973. The next prime is 133328047. The reversal of 133327992 is 299723331.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 133327992.

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, 14268 + ... + 21684.

It is an arithmetic number, because the mean of its divisors is an integer number (6008580).

Almost surely, 2133327992 is an apocalyptic number.

133327992 is a gapful number since it is divisible by the number (12) 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 133327992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192274560).

133327992 is an abundant number, since it is smaller than the sum of its proper divisors (251221128).

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

133327992 is a wasteful number, since it uses less digits than its factorization.

133327992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 7536 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 133327992 is about 11546.7740949583. The cubic root of 133327992 is about 510.8661329811.

The spelling of 133327992 in words is "one hundred thirty-three million, three hundred twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1498 2247 2568 2996 4494 5992 7417 8988 14834 17976 22251 29668 44502 51919 59336 89004 103838 155757 178008 207676 311514 415352 623028 793619 1246056 1587238 2380857 3174476 4761714 5555333 6348952 9523428 11110666 16665999 19046856 22221332 33331998 44442664 66663996 133327992