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540155712 = 26319263563
BaseRepresentation
bin100000001100100…
…001111101000000
31101122101202100010
4200030201331000
52101234440322
6125333224520
716246150665
oct4014417500
91348352303
10540155712
112579a3a88
12130a92140
1387ba4785
1451a49a6c
153264b20c
hex20321f40

540155712 has 112 divisors (see below), whose sum is σ = 1512783360. Its totient is φ = 169625088.

The previous prime is 540155699. The next prime is 540155719. The reversal of 540155712 is 217551045.

It is a super-3 number, since 3×5401557123 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540155712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540155719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959143 + ... + 959705.

Almost surely, 2540155712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540155712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756391680).

540155712 is an abundant number, since it is smaller than the sum of its proper divisors (972627648).

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

540155712 is a wasteful number, since it uses less digits than its factorization.

540155712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 540155712 is about 23241.2502245469. The cubic root of 540155712 is about 814.4035491963.

The spelling of 540155712 in words is "five hundred forty million, one hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 263 304 456 526 563 608 789 912 1052 1126 1216 1578 1689 1824 2104 2252 3156 3378 3648 4208 4504 4997 6312 6756 8416 9008 9994 10697 12624 13512 14991 16832 18016 19988 21394 25248 27024 29982 32091 36032 39976 42788 50496 54048 59964 64182 79952 85576 108096 119928 128364 148069 159904 171152 239856 256728 296138 319808 342304 444207 479712 513456 592276 684608 888414 959424 1026912 1184552 1776828 2053824 2369104 2813311 3553656 4738208 5626622 7107312 8439933 9476416 11253244 14214624 16879866 22506488 28429248 33759732 45012976 67519464 90025952 135038928 180051904 270077856 540155712