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264500740 = 22574353829
BaseRepresentation
bin11111100001111…
…11011000000100
3200102201000210201
433300333120010
51020203010430
642125100244
76361135120
oct1760773004
9612630721
10264500740
11126338359
12746b7684
1342a4ba1a
14271b2580
151834a8ca
hexfc3f604

264500740 has 96 divisors (see below), whose sum is σ = 662618880. Its totient is φ = 86800896.

The previous prime is 264500723. The next prime is 264500771. The reversal of 264500740 is 47005462.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 264500699 and 264500708.

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, 318646 + ... + 319474.

It is an arithmetic number, because the mean of its divisors is an integer number (6902280).

Almost surely, 2264500740 is an apocalyptic number.

264500740 is a gapful number since it is divisible by the number (20) 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 264500740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331309440).

264500740 is an abundant number, since it is smaller than the sum of its proper divisors (398118140).

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

264500740 is a wasteful number, since it uses less digits than its factorization.

264500740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 264500740 is about 16263.4787176668. The cubic root of 264500740 is about 641.9122009312.

The spelling of 264500740 in words is "two hundred sixty-four million, five hundred thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 53 70 86 106 140 172 212 215 265 301 371 430 530 602 742 829 860 1060 1204 1484 1505 1658 1855 2279 3010 3316 3710 4145 4558 5803 6020 7420 8290 9116 11395 11606 15953 16580 22790 23212 29015 31906 35647 43937 45580 58030 63812 71294 79765 87874 116060 142588 159530 175748 178235 219685 249529 307559 319060 356470 439370 499058 615118 712940 878740 998116 1230236 1247645 1537795 1889291 2495290 3075590 3778582 4990580 6151180 7557164 9446455 13225037 18892910 26450074 37785820 52900148 66125185 132250370 264500740