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133920 = 2533531
BaseRepresentation
bin100000101100100000
320210201000
4200230200
513241140
62512000
71065303
oct405440
9223630
10133920
1191686
1265600
1348c57
1436b3a
1529a30
hex20b20

133920 has 96 divisors (see below), whose sum is σ = 483840. Its totient is φ = 34560.

The previous prime is 133919. The next prime is 133949. The reversal of 133920 is 29331.

133920 = T30 + T31 + ... + T93.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133893 and 133902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4305 + ... + 4335.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2133920 is an apocalyptic number.

133920 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 133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

133920 is an abundant number, since it is smaller than the sum of its proper divisors (349920).

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

133920 is a wasteful number, since it uses less digits than its factorization.

133920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 133920 is about 365.9508163674. The cubic root of 133920 is about 51.1621138997.

The spelling of 133920 in words is "one hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 72 80 90 93 96 108 120 124 135 144 155 160 180 186 216 240 248 270 279 288 310 360 372 432 465 480 496 540 558 620 720 744 837 864 930 992 1080 1116 1240 1395 1440 1488 1674 1860 2160 2232 2480 2790 2976 3348 3720 4185 4320 4464 4960 5580 6696 7440 8370 8928 11160 13392 14880 16740 22320 26784 33480 44640 66960 133920