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264125730 = 235116113121
BaseRepresentation
bin11111011111000…
…11110100100010
3200101222222101110
433233203310202
51020104010410
642113044150
76355013601
oct1757436442
9611888343
10264125730
11126101630
1274556656
134294a11b
1427115a38
15182c4720
hexfbe3d22

264125730 has 64 divisors (see below), whose sum is σ = 702919296. Its totient is φ = 62976000.

The previous prime is 264125657. The next prime is 264125747. The reversal of 264125730 is 37521462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 13570 + ... + 26690.

It is an arithmetic number, because the mean of its divisors is an integer number (10983114).

Almost surely, 2264125730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264125730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351459648).

264125730 is an abundant number, since it is smaller than the sum of its proper divisors (438793566).

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

264125730 is a wasteful number, since it uses less digits than its factorization.

264125730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13203.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 264125730 is about 16251.9454220103. The cubic root of 264125730 is about 641.6086890514.

The spelling of 264125730 in words is "two hundred sixty-four million, one hundred twenty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 610 671 915 1342 1830 2013 3355 4026 6710 10065 13121 20130 26242 39363 65605 78726 131210 144331 196815 288662 393630 432993 721655 800381 865986 1443310 1600762 2164965 2401143 4001905 4329930 4802286 8003810 8804191 12005715 17608382 24011430 26412573 44020955 52825146 88041910 132062865 264125730