[go: up one dir, main page]

Search a number
-
+
6105264 = 2431131373
BaseRepresentation
bin10111010010100010110000
3102111011211220
4113102202300
53030332024
6334505040
7102615414
oct27224260
912434756
106105264
11349aa80
122065180
131359ba9
14b4cd44
15808e79
hex5d28b0

6105264 has 80 divisors (see below), whose sum is σ = 17808384. Its totient is φ = 1785600.

The previous prime is 6105263. The next prime is 6105293. The reversal of 6105264 is 4625016.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6105263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16182 + ... + 16554.

Almost surely, 26105264 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 6105264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8904192).

6105264 is an abundant number, since it is smaller than the sum of its proper divisors (11703120).

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

6105264 is a wasteful number, since it uses less digits than its factorization.

6105264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6105264 is about 2470.8832428911. The cubic root of 6105264 is about 182.7685568864.

It can be divided in two parts, 61052 and 64, that added together give a palindrome (61116).

The spelling of 6105264 in words is "six million, one hundred five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 373 496 528 682 744 746 1023 1119 1364 1488 1492 2046 2238 2728 2984 4092 4103 4476 5456 5968 8184 8206 8952 11563 12309 16368 16412 17904 23126 24618 32824 34689 46252 49236 65648 69378 92504 98472 127193 138756 185008 196944 254386 277512 381579 508772 555024 763158 1017544 1526316 2035088 3052632 6105264