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6004264 = 237217253
BaseRepresentation
bin10110111001111000101000
3102022001022011
4112321320220
53014114024
6332405304
7102015100
oct26717050
912261264
106004264
113431102
122016834
131322c26
14b24200
157d9094
hex5b9e28

6004264 has 72 divisors (see below), whose sum is σ = 14174190. Its totient is φ = 2376192.

The previous prime is 6004259. The next prime is 6004277. The reversal of 6004264 is 4624006.

It can be written as a sum of positive squares in 3 ways, for example, as 6002500 + 1764 = 2450^2 + 42^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113262 + ... + 113314.

Almost surely, 26004264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6004264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087095).

6004264 is an abundant number, since it is smaller than the sum of its proper divisors (8169926).

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

6004264 is a wasteful number, since it uses less digits than its factorization.

6004264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 6004264 is about 2450.3599735549. The cubic root of 6004264 is about 181.7550946580.

It can be divided in two parts, 60042 and 64, that added together give a palindrome (60106).

The spelling of 6004264 in words is "six million, four thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 53 56 68 98 106 119 136 196 212 238 289 371 392 424 476 578 742 833 901 952 1156 1484 1666 1802 2023 2312 2597 2968 3332 3604 4046 5194 6307 6664 7208 8092 10388 12614 14161 15317 16184 20776 25228 28322 30634 44149 50456 56644 61268 88298 107219 113288 122536 176596 214438 353192 428876 750533 857752 1501066 3002132 6004264