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133712920 = 23511319803
BaseRepresentation
bin1111111100001…
…00110000011000
3100022121022122101
413332010300120
5233212303140
621133533144
73212353405
oct776046030
9308538571
10133712920
1169528550
12389441b4
1321918793
1413a892ac
15bb1399a
hex7f84c18

133712920 has 64 divisors (see below), whose sum is σ = 338826240. Its totient is φ = 47049600.

The previous prime is 133712897. The next prime is 133712921. The reversal of 133712920 is 29217331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133712921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8739 + ... + 18541.

It is an arithmetic number, because the mean of its divisors is an integer number (5294160).

Almost surely, 2133712920 is an apocalyptic number.

133712920 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 133712920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169413120).

133712920 is an abundant number, since it is smaller than the sum of its proper divisors (205113320).

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

133712920 is a wasteful number, since it uses less digits than its factorization.

133712920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856 (or 9852 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 133712920 is about 11563.4302869002. The cubic root of 133712920 is about 511.3572970000.

The spelling of 133712920 in words is "one hundred thirty-three million, seven hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 9803 13640 19606 39212 49015 78424 98030 107833 196060 215666 303893 392120 431332 539165 607786 862664 1078330 1215572 1519465 2156660 2431144 3038930 3342823 4313320 6077860 6685646 12155720 13371292 16714115 26742584 33428230 66856460 133712920