Search a number
-
+
15034290 = 2351741719
BaseRepresentation
bin111001010110…
…011110110010
31001021211011120
4321112132302
512322044130
61254123110
7241534515
oct71263662
931254146
1015034290
118539537
125050496
13316513b
141dd4d7c
1514be910
hexe567b2

15034290 has 64 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 3676160.

The previous prime is 15034289. The next prime is 15034291. The reversal of 15034290 is 9243051.

It is an interprime number because it is at equal distance from previous prime (15034289) and next prime (15034291).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 15034290.

It is not an unprimeable number, because it can be changed into a prime (15034291) 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, 20551 + ... + 21269.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 215034290 is an apocalyptic number.

15034290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15034290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

15034290 is an abundant number, since it is smaller than the sum of its proper divisors (24156750).

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

15034290 is a wasteful number, since it uses less digits than its factorization.

15034290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 15034290 is about 3877.4076391321. The cubic root of 15034290 is about 246.8089897756.

The spelling of 15034290 in words is "fifteen million, thirty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 102 123 170 205 246 255 410 510 615 697 719 1230 1394 1438 2091 2157 3485 3595 4182 4314 6970 7190 10455 10785 12223 20910 21570 24446 29479 36669 58958 61115 73338 88437 122230 147395 176874 183345 294790 366690 442185 501143 884370 1002286 1503429 2505715 3006858 5011430 7517145 15034290