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465155240 = 235114783271
BaseRepresentation
bin11011101110011…
…011010010101000
31012102021100000212
4123232123102220
51423034431430
6114053520252
714345516504
oct3356332250
91172240025
10465155240
11219628020
1210b943088
13754a4bb4
1445ac5304
152ac83b95
hex1bb9b4a8

465155240 has 128 divisors (see below), whose sum is σ = 1184440320. Its totient is φ = 162950400.

The previous prime is 465155221. The next prime is 465155267. The reversal of 465155240 is 42551564.

It is a junction number, because it is equal to n+sod(n) for n = 465155197 and 465155206.

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, 1716305 + ... + 1716575.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2465155240 is an apocalyptic number.

465155240 is a gapful number since it is divisible by the number (40) 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 465155240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160).

465155240 is an abundant number, since it is smaller than the sum of its proper divisors (719285080).

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

465155240 is a wasteful number, since it uses less digits than its factorization.

465155240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 465155240 is about 21567.4578937806. The cubic root of 465155240 is about 774.8172944264.

The spelling of 465155240 in words is "four hundred sixty-five million, one hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 83 88 94 110 166 188 220 235 271 332 376 415 440 470 517 542 664 830 913 940 1034 1084 1355 1660 1826 1880 2068 2168 2585 2710 2981 3320 3652 3901 4136 4565 5170 5420 5962 7304 7802 9130 10340 10840 11924 12737 14905 15604 18260 19505 20680 22493 23848 25474 29810 31208 36520 39010 42911 44986 50948 59620 63685 78020 85822 89972 101896 112465 119240 127370 140107 156040 171644 179944 214555 224930 247423 254740 280214 343288 429110 449860 494846 509480 560428 700535 858220 899720 989692 1057171 1120856 1237115 1401070 1716440 1979384 2114342 2474230 2802140 4228684 4948460 5285855 5604280 8457368 9896920 10571710 11628881 21143420 23257762 42286840 46515524 58144405 93031048 116288810 232577620 465155240