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264990 = 23511273
BaseRepresentation
bin1000000101100011110
3111110111110
41000230132
531434430
65402450
72152365
oct1005436
9443443
10264990
11171100
12109426
13937cb
146c7dc
15537b0
hex40b1e

264990 has 48 divisors (see below), whose sum is σ = 708624. Its totient is φ = 63360.

The previous prime is 264977. The next prime is 264991. The reversal of 264990 is 99462.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3594 + ... + 3666.

It is an arithmetic number, because the mean of its divisors is an integer number (14763).

2264990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354312).

264990 is an abundant number, since it is smaller than the sum of its proper divisors (443634).

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

264990 is a wasteful number, since it uses less digits than its factorization.

264990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 264990 is about 514.7717940991. The cubic root of 264990 is about 64.2307749310.

The spelling of 264990 in words is "two hundred sixty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 121 146 165 219 242 330 363 365 438 605 726 730 803 1095 1210 1606 1815 2190 2409 3630 4015 4818 8030 8833 12045 17666 24090 26499 44165 52998 88330 132495 264990