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264918990 = 235721710601
BaseRepresentation
bin11111100101001…
…01011111001110
3200110111021112110
433302211133032
51020304401430
642142044450
76364526400
oct1762453716
9613437473
10264918990
111265a3616
1274879726
1342b671cb
1427280b70
15183ce7b0
hexfca57ce

264918990 has 96 divisors (see below), whose sum is σ = 783190944. Its totient is φ = 56985600.

The previous prime is 264918989. The next prime is 264919013. The reversal of 264918990 is 99819462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19690 + ... + 30290.

It is an arithmetic number, because the mean of its divisors is an integer number (8158239).

Almost surely, 2264918990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264918990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391595472).

264918990 is an abundant number, since it is smaller than the sum of its proper divisors (518271954).

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

264918990 is a wasteful number, since it uses less digits than its factorization.

264918990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10642 (or 10635 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 264918990 is about 16276.3322035402. The cubic root of 264918990 is about 642.2503706066.

The spelling of 264918990 in words is "two hundred sixty-four million, nine hundred eighteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 294 357 490 510 595 714 735 833 1190 1470 1666 1785 2499 3570 4165 4998 8330 10601 12495 21202 24990 31803 53005 63606 74207 106010 148414 159015 180217 222621 318030 360434 371035 445242 519449 540651 742070 901085 1038898 1081302 1113105 1261519 1558347 1802170 2226210 2523038 2597245 2703255 3116694 3784557 5194490 5406510 6307595 7569114 7791735 8830633 12615190 15583470 17661266 18922785 26491899 37845570 44153165 52983798 88306330 132459495 264918990