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264797040 = 24353135591
BaseRepresentation
bin11111100100001…
…11101101110000
3200110021002020210
433302013231300
51020242001130
642135304120
76363511014
oct1762075560
9613232223
10264797040
1112651aa32
127481b040
1342b23851
142724c544
15183a85b0
hexfc87b70

264797040 has 80 divisors (see below), whose sum is σ = 847374336. Its totient is φ = 68332800.

The previous prime is 264797033. The next prime is 264797047. The reversal of 264797040 is 40797462.

It is an interprime number because it is at equal distance from previous prime (264797033) and next prime (264797047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 264797040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264797047) 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, 10356 + ... + 25235.

Almost surely, 2264797040 is an apocalyptic number.

264797040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264797040 is an abundant number, since it is smaller than the sum of its proper divisors (582577296).

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

264797040 is a wasteful number, since it uses less digits than its factorization.

264797040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35638 (or 35632 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 264797040 is about 16272.5855351877. The cubic root of 264797040 is about 642.1518065716.

The spelling of 264797040 in words is "two hundred sixty-four million, seven hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 35591 71182 106773 142364 177955 213546 284728 355910 427092 533865 569456 711820 854184 1067730 1103321 1423640 1708368 2135460 2206642 2847280 3309963 4270920 4413284 5516605 6619926 8541840 8826568 11033210 13239852 16549815 17653136 22066420 26479704 33099630 44132840 52959408 66199260 88265680 132398520 264797040