Search a number
-
+
15398940 = 22351731487
BaseRepresentation
bin111010101111…
…100000011100
31001222100101010
4322233200130
512420231230
61310015220
7244613604
oct72574034
931870333
1015398940
1187684a7
1251a7510
1332620cb
14208bc04
1515429b0
hexeaf81c

15398940 has 96 divisors (see below), whose sum is σ = 47222784. Its totient is φ = 3732480.

The previous prime is 15398893. The next prime is 15398959. The reversal of 15398940 is 4989351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31377 + ... + 31863.

It is an arithmetic number, because the mean of its divisors is an integer number (491904).

Almost surely, 215398940 is an apocalyptic number.

15398940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15398940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23611392).

15398940 is an abundant number, since it is smaller than the sum of its proper divisors (31823844).

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

15398940 is a wasteful number, since it uses less digits than its factorization.

15398940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 15398940 is about 3924.1483152399. The cubic root of 15398940 is about 248.7884850769.

The spelling of 15398940 in words is "fifteen million, three hundred ninety-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 487 510 527 620 930 974 1020 1054 1461 1581 1860 1948 2108 2435 2635 2922 3162 4870 5270 5844 6324 7305 7905 8279 9740 10540 14610 15097 15810 16558 24837 29220 30194 31620 33116 41395 45291 49674 60388 75485 82790 90582 99348 124185 150970 165580 181164 226455 248370 256649 301940 452910 496740 513298 769947 905820 1026596 1283245 1539894 2566490 3079788 3849735 5132980 7699470 15398940