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264074140 = 225117091693
BaseRepresentation
bin11111011110101…
…11001110011100
3200101220100121201
433233113032130
51020100333030
642112005244
76354410311
oct1757271634
9611810551
10264074140
111260768a0
1274530824
134292c7b5
1427100d08
15182b42ca
hexfbd739c

264074140 has 48 divisors (see below), whose sum is σ = 606180960. Its totient is φ = 95834880.

The previous prime is 264074099. The next prime is 264074159. The reversal of 264074140 is 41470462.

It is a junction number, because it is equal to n+sod(n) for n = 264074099 and 264074108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155134 + ... + 156826.

It is an arithmetic number, because the mean of its divisors is an integer number (12628770).

Almost surely, 2264074140 is an apocalyptic number.

264074140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264074140 is an abundant number, since it is smaller than the sum of its proper divisors (342106820).

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

264074140 is a wasteful number, since it uses less digits than its factorization.

264074140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 264074140 is about 16250.3581498993. The cubic root of 264074140 is about 641.5669125490.

The spelling of 264074140 in words is "two hundred sixty-four million, seventy-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 709 1418 1693 2836 3386 3545 6772 7090 7799 8465 14180 15598 16930 18623 31196 33860 37246 38995 74492 77990 93115 155980 186230 372460 1200337 2400674 4801348 6001685 12003370 13203707 24006740 26407414 52814828 66018535 132037070 264074140