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264500940 = 223511400759
BaseRepresentation
bin11111100001111…
…11011011001100
3200102201001002010
433300333123030
51020203012230
642125101220
76361135524
oct1760773314
9612631063
10264500940
11126338520
12746b7810
1342a4bb42
14271b2684
151834a9b0
hexfc3f6cc

264500940 has 48 divisors (see below), whose sum is σ = 807932160. Its totient is φ = 64121280.

The previous prime is 264500923. The next prime is 264500981. The reversal of 264500940 is 49005462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264500898 and 264500907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199720 + ... + 201039.

It is an arithmetic number, because the mean of its divisors is an integer number (16831920).

Almost surely, 2264500940 is an apocalyptic number.

264500940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264500940 is an abundant number, since it is smaller than the sum of its proper divisors (543431220).

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

264500940 is a wasteful number, since it uses less digits than its factorization.

264500940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400782 (or 400780 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 264500940 is about 16263.4848664116. The cubic root of 264500940 is about 641.9123627233.

The spelling of 264500940 in words is "two hundred sixty-four million, five hundred thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 400759 801518 1202277 1603036 2003795 2404554 4007590 4408349 4809108 6011385 8015180 8816698 12022770 13225047 17633396 22041745 24045540 26450094 44083490 52900188 66125235 88166980 132250470 264500940