Search a number
-
+
114815100 = 223521920143
BaseRepresentation
bin1101101011111…
…11000001111100
322000001012201010
412311333001330
5213343040400
615220515220
72562624621
oct665770174
9260035633
10114815100
11598a0314
123254bb10
131aa2cc3a
141136a348
15a12e450
hex6d7f07c

114815100 has 72 divisors (see below), whose sum is σ = 349699840. Its totient is φ = 29004480.

The previous prime is 114815087. The next prime is 114815101. The reversal of 114815100 is 1518411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114815101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4372 + ... + 15771.

Almost surely, 2114815100 is an apocalyptic number.

114815100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114815100 is an abundant number, since it is smaller than the sum of its proper divisors (234884740).

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

114815100 is a wasteful number, since it uses less digits than its factorization.

114815100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20179 (or 20172 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

The square root of 114815100 is about 10715.1808197529. The cubic root of 114815100 is about 486.0336476899.

The spelling of 114815100 in words is "one hundred fourteen million, eight hundred fifteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 20143 40286 60429 80572 100715 120858 201430 241716 302145 382717 402860 503575 604290 765434 1007150 1148151 1208580 1510725 1530868 1913585 2014300 2296302 3021450 3827170 4592604 5740755 6042900 7654340 9567925 11481510 19135850 22963020 28703775 38271700 57407550 114815100