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264862140 = 223531157907
BaseRepresentation
bin11111100100101…
…11100110111100
3200110101101112220
433302113212330
51020301042030
642140525340
76364201554
oct1762274674
9613341486
10264862140
11126564934
1274850850
1342b4737a
1427268164
15183bca10
hexfc979bc

264862140 has 96 divisors (see below), whose sum is σ = 771262464. Its totient is φ = 67841280.

The previous prime is 264862139. The next prime is 264862201. The reversal of 264862140 is 41268462.

It is a congruent number.

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, 291567 + ... + 292473.

It is an arithmetic number, because the mean of its divisors is an integer number (8033984).

Almost surely, 2264862140 is an apocalyptic number.

264862140 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 264862140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385631232).

264862140 is an abundant number, since it is smaller than the sum of its proper divisors (506400324).

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

264862140 is a wasteful number, since it uses less digits than its factorization.

264862140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 264862140 is about 16274.5857090127. The cubic root of 264862140 is about 642.2044263155.

The spelling of 264862140 in words is "two hundred sixty-four million, eight hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 157 186 310 314 372 465 471 620 628 785 907 930 942 1570 1814 1860 1884 2355 2721 3140 3628 4535 4710 4867 5442 9070 9420 9734 10884 13605 14601 18140 19468 24335 27210 28117 29202 48670 54420 56234 58404 73005 84351 97340 112468 140585 142399 146010 168702 281170 284798 292020 337404 421755 427197 562340 569596 711995 843510 854394 1423990 1687020 1708788 2135985 2847980 4271970 4414369 8543940 8828738 13243107 17657476 22071845 26486214 44143690 52972428 66215535 88287380 132431070 264862140