Search a number
-
+
15381900 = 223652211
BaseRepresentation
bin111010101011…
…010110001100
31001221111000000
4322223112030
512414210100
61305404300
7244513122
oct72532614
931844000
1015381900
118756716
125199690
133257421
142085912
15153c900
hexeab58c

15381900 has 126 divisors (see below), whose sum is σ = 50282372. Its totient is φ = 4082400.

The previous prime is 15381893. The next prime is 15381911. The reversal of 15381900 is 918351.

It is a super-2 number, since 2×153819002 = 473205695220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 41 ways as a sum of consecutive naturals, for example, 72795 + ... + 73005.

Almost surely, 215381900 is an apocalyptic number.

15381900 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 15381900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25141186).

15381900 is an abundant number, since it is smaller than the sum of its proper divisors (34900472).

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

15381900 is a wasteful number, since it uses less digits than its factorization.

15381900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 15381900 is about 3921.9765425102. The cubic root of 15381900 is about 248.6966839429.

The spelling of 15381900 in words is "fifteen million, three hundred eighty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 211 225 243 270 300 324 405 422 450 486 540 633 675 729 810 844 900 972 1055 1215 1266 1350 1458 1620 1899 2025 2110 2430 2532 2700 2916 3165 3645 3798 4050 4220 4860 5275 5697 6075 6330 7290 7596 8100 9495 10550 11394 12150 12660 14580 15825 17091 18225 18990 21100 22788 24300 28485 31650 34182 36450 37980 47475 51273 56970 63300 68364 72900 85455 94950 102546 113940 142425 153819 170910 189900 205092 256365 284850 307638 341820 427275 512730 569700 615276 769095 854550 1025460 1281825 1538190 1709100 2563650 3076380 3845475 5127300 7690950 15381900