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115141632 = 2103371013
BaseRepresentation
bin1101101110011…
…10110000000000
322000122210121220
412313032300000
5213434013012
615231515040
72565454614
oct667166000
9260583556
10115141632
1159aa3681
1232688a80
131ab15758
1411413344
15a19608c
hex6dcec00

115141632 has 88 divisors (see below), whose sum is σ = 315500016. Its totient is φ = 37306368.

The previous prime is 115141613. The next prime is 115141639. The reversal of 115141632 is 236141511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (115141639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113158 + ... + 114170.

Almost surely, 2115141632 is an apocalyptic number.

115141632 is a gapful number since it is divisible by the number (12) 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 115141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157750008).

115141632 is an abundant number, since it is smaller than the sum of its proper divisors (200358384).

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

115141632 is a wasteful number, since it uses less digits than its factorization.

115141632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1055 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 115141632 is about 10730.4068888370. The cubic root of 115141632 is about 486.4939684562.

The spelling of 115141632 in words is "one hundred fifteen million, one hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1013 1024 1184 1536 1776 2026 2368 3039 3072 3552 4052 4736 6078 7104 8104 9472 12156 14208 16208 18944 24312 28416 32416 37481 37888 48624 56832 64832 74962 97248 112443 113664 129664 149924 194496 224886 259328 299848 388992 449772 518656 599696 777984 899544 1037312 1199392 1555968 1799088 2398784 3111936 3598176 4797568 7196352 9595136 14392704 19190272 28785408 38380544 57570816 115141632