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264065940 = 22335489011
BaseRepresentation
bin11111011110101…
…01001110010100
3200101212221101000
433233111032110
51020100102230
642111503300
76354344355
oct1757251624
9611787330
10264065940
11126070716
1274527b30
1342928b48
14270dbd2c
15182b1b60
hexfbd5394

264065940 has 48 divisors (see below), whose sum is σ = 821540160. Its totient is φ = 70417440.

The previous prime is 264065927. The next prime is 264065983. The reversal of 264065940 is 49560462.

264065940 is a `hidden beast` number, since 2 + 64 + 0 + 6 + 594 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 264065895 and 264065904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243966 + ... + 245045.

It is an arithmetic number, because the mean of its divisors is an integer number (17115420).

Almost surely, 2264065940 is an apocalyptic number.

264065940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264065940 is an abundant number, since it is smaller than the sum of its proper divisors (557474220).

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

264065940 is a wasteful number, since it uses less digits than its factorization.

264065940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489029 (or 489021 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 264065940 is about 16250.1058458091. The cubic root of 264065940 is about 641.5602718595.

The spelling of 264065940 in words is "two hundred sixty-four million, sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 489011 978022 1467033 1956044 2445055 2934066 4401099 4890110 5868132 7335165 8802198 9780220 13203297 14670330 17604396 22005495 26406594 29340660 44010990 52813188 66016485 88021980 132032970 264065940