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155280540 = 223519267107
BaseRepresentation
bin10010100000101…
…10010010011100
3101211012001212010
421100112102130
5304222434130
623224111220
73563601642
oct1120262234
9354161763
10155280540
117a719628
1244005510
132622a59c
14168a1192
15d9740b0
hex941649c

155280540 has 144 divisors (see below), whose sum is σ = 470074752. Its totient is φ = 38282112.

The previous prime is 155280539. The next prime is 155280547. The reversal of 155280540 is 45082551.

It is a super-2 number, since 2×1552805402 = 48224092205383200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 155280498 and 155280507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155280547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451167 + ... + 1451273.

It is an arithmetic number, because the mean of its divisors is an integer number (3264408).

Almost surely, 2155280540 is an apocalyptic number.

155280540 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 155280540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235037376).

155280540 is an abundant number, since it is smaller than the sum of its proper divisors (314794212).

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

155280540 is a wasteful number, since it uses less digits than its factorization.

155280540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 155280540 is about 12461.1612620975. The cubic root of 155280540 is about 537.4924203005.

The spelling of 155280540 in words is "one hundred fifty-five million, two hundred eighty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 107 114 134 190 201 214 228 268 285 321 335 361 380 402 428 535 570 642 670 722 804 1005 1070 1083 1140 1273 1284 1340 1444 1605 1805 2010 2033 2140 2166 2546 3210 3610 3819 4020 4066 4332 5092 5415 6099 6365 6420 7169 7220 7638 8132 10165 10830 12198 12730 14338 15276 19095 20330 21507 21660 24187 24396 25460 28676 30495 35845 38190 38627 40660 43014 48374 60990 71690 72561 76380 77254 86028 96748 107535 115881 120935 121980 136211 143380 145122 154508 193135 215070 231762 241870 272422 290244 362805 386270 408633 430140 463524 483740 544844 579405 681055 725610 772540 817266 1158810 1362110 1451220 1634532 2043165 2317620 2588009 2724220 4086330 5176018 7764027 8172660 10352036 12940045 15528054 25880090 31056108 38820135 51760180 77640270 155280540