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5430656520 = 2332571212467
BaseRepresentation
bin1010000111011000…
…10011111000001000
3112000110201221020200
411003230103320020
542110222002040
62254513452200
7251401550562
oct50354237010
915013657220
105430656520
112337511693
121076871060
13687144c33
14397366332
1521bb73630
hex143b13e08

5430656520 has 96 divisors (see below), whose sum is σ = 17898304320. Its totient is φ = 1427771520.

The previous prime is 5430656507. The next prime is 5430656521. The reversal of 5430656520 is 256560345.

It is a happy number.

5430656520 is a `hidden beast` number, since 54 + 30 + 6 + 56 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5430656521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80674 + ... + 131793.

It is an arithmetic number, because the mean of its divisors is an integer number (186440670).

Almost surely, 25430656520 is an apocalyptic number.

It is an amenable number.

5430656520 is an abundant number, since it is smaller than the sum of its proper divisors (12467647800).

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

5430656520 is a wasteful number, since it uses less digits than its factorization.

5430656520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212555 (or 212548 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5430656520 is about 73692.9882688984. The cubic root of 5430656520 is about 1757.7243876734.

The spelling of 5430656520 in words is "five billion, four hundred thirty million, six hundred fifty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 212467 424934 637401 849868 1062335 1274802 1699736 1912203 2124670 2549604 3187005 3824406 4249340 5099208 6374010 7648812 8498680 9561015 12748020 15085157 15297624 19122030 25496040 30170314 38244060 45255471 60340628 75425785 76488120 90510942 120681256 135766413 150851570 181021884 226277355 271532826 301703140 362043768 452554710 543065652 603406280 678832065 905109420 1086131304 1357664130 1810218840 2715328260 5430656520