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5420264832 = 27328235717
BaseRepresentation
bin1010000110001001…
…01010110110000000
3111222202011222112100
411003010222312000
542100041433312
62253503030400
7251214330243
oct50304526600
914882158470
105420264832
112331664214
12107329b400
13684c46cc8
14395c1d25a
1521acbe5dc
hex14312ad80

5420264832 has 96 divisors (see below), whose sum is σ = 15619060080. Its totient is φ = 1804243968.

The previous prime is 5420264831. The next prime is 5420264833. The reversal of 5420264832 is 2384620245.

5420264832 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 2 + 648 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5420264831) and next prime (5420264833).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5420264831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 945238 + ... + 950954.

Almost surely, 25420264832 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 5420264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809530040).

5420264832 is an abundant number, since it is smaller than the sum of its proper divisors (10198795248).

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

5420264832 is a wasteful number, since it uses less digits than its factorization.

5420264832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5420264832 is about 73622.4478810641. The cubic root of 5420264832 is about 1756.6025229173.

The spelling of 5420264832 in words is "five billion, four hundred twenty million, two hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 823 1152 1646 2469 3292 4938 5717 6584 7407 9876 11434 13168 14814 17151 19752 22868 26336 29628 34302 39504 45736 51453 52672 59256 68604 79008 91472 102906 105344 118512 137208 158016 182944 205812 237024 274416 316032 365888 411624 474048 548832 731776 823248 948096 1097664 1646496 2195328 3292992 4705091 6585984 9410182 14115273 18820364 28230546 37640728 42345819 56461092 75281456 84691638 112922184 150562912 169383276 225844368 301125824 338766552 451688736 602251648 677533104 903377472 1355066208 1806754944 2710132416 5420264832