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255733380 = 2232571711939
BaseRepresentation
bin11110011111000…
…10111010000100
3122211012121020200
433033202322010
51010431432010
641213130500
76223461240
oct1717427204
9584177220
10255733380
1112139a301
1271789a30
1340c9c236
1425d6d420
15176b7cc0
hexf3e2e84

255733380 has 144 divisors (see below), whose sum is σ = 938770560. Its totient is φ = 55010304.

The previous prime is 255733367. The next prime is 255733393. The reversal of 255733380 is 83337552.

255733380 is a `hidden beast` number, since 2 + 5 + 573 + 3 + 3 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (255733367) and next prime (255733393).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15451 + ... + 27389.

It is an arithmetic number, because the mean of its divisors is an integer number (6519240).

Almost surely, 2255733380 is an apocalyptic number.

255733380 is a gapful number since it is divisible by the number (20) 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 255733380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469385280).

255733380 is an abundant number, since it is smaller than the sum of its proper divisors (683037180).

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

255733380 is a wasteful number, since it uses less digits than its factorization.

255733380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11978 (or 11973 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 255733380 is about 15991.6659544902. The cubic root of 255733380 is about 634.7399104312.

It can be divided in two parts, 2557 and 33380, that added together give a cube (35937 = 333).

The spelling of 255733380 in words is "two hundred fifty-five million, seven hundred thirty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 11939 21420 23878 35817 47756 59695 71634 83573 107451 119390 143268 167146 179085 202963 214902 238780 250719 334292 358170 405926 417865 429804 501438 537255 608889 716340 752157 811852 835730 1002876 1014815 1074510 1217778 1253595 1420741 1504314 1671460 1826667 2029630 2149020 2435556 2507190 2841482 3008628 3044445 3653334 3760785 4059260 4262223 5014380 5682964 6088890 7103705 7306668 7521570 8524446 9133335 12177780 12786669 14207410 15043140 17048892 18266670 21311115 25573338 28414820 36533340 42622230 51146676 63933345 85244460 127866690 255733380