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133054320 = 24357292731
BaseRepresentation
bin1111110111000…
…11111101110000
3100021100212012210
413323203331300
5233030214240
621111452120
73203641320
oct773437560
9307325183
10133054320
1169118753
1238687040
1321747a89
1413957280
15ba33780
hex7ee3f70

133054320 has 160 divisors (see below), whose sum is σ = 487825920. Its totient is φ = 29352960.

The previous prime is 133054319. The next prime is 133054351. The reversal of 133054320 is 23450331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47355 + ... + 50085.

It is an arithmetic number, because the mean of its divisors is an integer number (3048912).

Almost surely, 2133054320 is an apocalyptic number.

133054320 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 133054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243912960).

133054320 is an abundant number, since it is smaller than the sum of its proper divisors (354771600).

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

133054320 is a wasteful number, since it uses less digits than its factorization.

133054320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 133054320 is about 11534.9174249320. The cubic root of 133054320 is about 510.5163551579.

The spelling of 133054320 in words is "one hundred thirty-three million, fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 2731 3045 3248 3480 4060 4872 5462 6090 6960 8120 8193 9744 10924 12180 13655 16240 16386 19117 21848 24360 27310 32772 38234 40965 43696 48720 54620 57351 65544 76468 79199 81930 95585 109240 114702 131088 152936 158398 163860 191170 218480 229404 237597 286755 305872 316796 327720 382340 395995 458808 475194 554393 573510 633592 655440 764680 791990 917616 950388 1108786 1147020 1187985 1267184 1529360 1583980 1663179 1900776 2217572 2294040 2375970 2771965 3167960 3326358 3801552 4435144 4588080 4751940 5543930 6335920 6652716 8315895 8870288 9503880 11087860 13305432 16631790 19007760 22175720 26610864 33263580 44351440 66527160 133054320