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215113104 = 24331721723
BaseRepresentation
bin11001101001001…
…01110110010000
3112222202212201000
430310211312100
5420032104404
633202342000
75221300623
oct1464456620
9488685630
10215113104
11100475728
126005a900
133574927b
14207d7dba
1513d42339
hexcd25d90

215113104 has 120 divisors (see below), whose sum is σ = 656292320. Its totient is φ = 67447296.

The previous prime is 215113103. The next prime is 215113127. The reversal of 215113104 is 401311512.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (215113103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 123987 + ... + 125709.

Almost surely, 2215113104 is an apocalyptic number.

215113104 is a gapful number since it is divisible by the number (24) 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 215113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328146160).

215113104 is an abundant number, since it is smaller than the sum of its proper divisors (441179216).

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

215113104 is a wasteful number, since it uses less digits than its factorization.

215113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 215113104 is about 14666.7346059033. The cubic root of 215113104 is about 599.1776734800.

Adding to 215113104 its reverse (401311512), we get a palindrome (616424616).

The spelling of 215113104 in words is "two hundred fifteen million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 289 306 408 432 459 578 612 816 867 918 1156 1224 1723 1734 1836 2312 2448 2601 3446 3468 3672 4624 5169 5202 6892 6936 7344 7803 10338 10404 13784 13872 15507 15606 20676 20808 27568 29291 31014 31212 41352 41616 46521 58582 62028 62424 82704 87873 93042 117164 124056 124848 175746 186084 234328 248112 263619 351492 372168 468656 497947 527238 702984 744336 790857 995894 1054476 1405968 1493841 1581714 1991788 2108952 2987682 3163428 3983576 4217904 4481523 5975364 6326856 7967152 8963046 11950728 12653712 13444569 17926092 23901456 26889138 35852184 53778276 71704368 107556552 215113104