Search a number
-
+
15190494 = 2311475983
BaseRepresentation
bin111001111100…
…100111011110
31001120202102220
4321330213132
512342043434
61301330210
7243055104
oct71744736
931522386
1015190494
118635930
125106966
1331bb277
142035c74
151500d49
hexe7c9de

15190494 has 64 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 4375520.

The previous prime is 15190493. The next prime is 15190529. The reversal of 15190494 is 49409151.

15190494 = 6322 + 6332 + ... + 6672.

It is a super-2 number, since 2×151904942 = 461502215928072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15190493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182977 + ... + 183059.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 215190494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15190494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

15190494 is an abundant number, since it is smaller than the sum of its proper divisors (19645986).

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

15190494 is a wasteful number, since it uses less digits than its factorization.

15190494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 15190494 is about 3897.4984284795. The cubic root of 15190494 is about 247.6608157998.

The spelling of 15190494 in words is "fifteen million, one hundred ninety thousand, four hundred ninety-four".

Divisors: 1 2 3 6 11 22 33 47 59 66 83 94 118 141 166 177 249 282 354 498 517 649 913 1034 1298 1551 1826 1947 2739 2773 3102 3894 3901 4897 5478 5546 7802 8319 9794 11703 14691 16638 23406 29382 30503 42911 53867 61006 85822 91509 107734 128733 161601 183018 230159 257466 323202 460318 690477 1380954 2531749 5063498 7595247 15190494