Search a number
-
+
113640780 = 22351131423
BaseRepresentation
bin1101100011000…
…00010101001100
321220211112211210
412301200111030
5213043001110
615135414420
72546634141
oct661402514
9256745753
10113640780
1159169000
1232084410
131a70b586
14111423c8
159e9b520
hex6c6054c

113640780 has 96 divisors (see below), whose sum is σ = 350235648. Its totient is φ = 27529920.

The previous prime is 113640757. The next prime is 113640803. The reversal of 113640780 is 87046311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113640757) and next prime (113640803).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79149 + ... + 80571.

It is an arithmetic number, because the mean of its divisors is an integer number (3648288).

Almost surely, 2113640780 is an apocalyptic number.

113640780 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 113640780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175117824).

113640780 is an abundant number, since it is smaller than the sum of its proper divisors (236594868).

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

113640780 is a wasteful number, since it uses less digits than its factorization.

113640780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 113640780 is about 10660.2429615839. The cubic root of 113640780 is about 484.3709277771.

The spelling of 113640780 in words is "one hundred thirteen million, six hundred forty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1331 1423 1452 1815 2420 2662 2846 3630 3993 4269 5324 5692 6655 7115 7260 7986 8538 13310 14230 15653 15972 17076 19965 21345 26620 28460 31306 39930 42690 46959 62612 78265 79860 85380 93918 156530 172183 187836 234795 313060 344366 469590 516549 688732 860915 939180 1033098 1721830 1894013 2066196 2582745 3443660 3788026 5165490 5682039 7576052 9470065 10330980 11364078 18940130 22728156 28410195 37880260 56820390 113640780