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264093390 = 232511224251
BaseRepresentation
bin11111011110110…
…11111011001110
3200101221100000200
433233123323032
51020101442030
642112234330
76354520401
oct1757337316
9611840020
10264093390
1112608a300
127453b9a6
13429384a2
1427107d38
15182b9d60
hexfbdbece

264093390 has 72 divisors (see below), whose sum is σ = 754770744. Its totient is φ = 64020000.

The previous prime is 264093359. The next prime is 264093391. The reversal of 264093390 is 93390462.

It is a happy number.

264093390 is a `hidden beast` number, since 2 + 640 + 9 + 3 + 3 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264093391) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1236 + ... + 23015.

It is an arithmetic number, because the mean of its divisors is an integer number (10482927).

Almost surely, 2264093390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264093390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377385372).

264093390 is an abundant number, since it is smaller than the sum of its proper divisors (490677354).

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

264093390 is a wasteful number, since it uses less digits than its factorization.

264093390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24286 (or 24272 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 264093390 is about 16250.9504337439. The cubic root of 264093390 is about 641.5825014325.

The spelling of 264093390 in words is "two hundred sixty-four million, ninety-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 24251 48502 72753 121255 145506 218259 242510 266761 363765 436518 533522 727530 800283 1091295 1333805 1600566 2182590 2400849 2667610 2934371 4001415 4801698 5868742 8002830 8803113 12004245 14671855 17606226 24008490 26409339 29343710 44015565 52818678 88031130 132046695 264093390