Search a number
-
+
116120544 = 2533139019
BaseRepresentation
bin1101110101111…
…01101111100000
322002111112102220
412322331233200
5214211324134
615304511040
72610002601
oct672755740
9262445386
10116120544
115a6020a1
1232a7b480
131b0991a7
14115c9da8
15a2db149
hex6ebdbe0

116120544 has 48 divisors (see below), whose sum is σ = 314657280. Its totient is φ = 37457280.

The previous prime is 116120539. The next prime is 116120579. The reversal of 116120544 is 445021611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16534 + ... + 22485.

It is an arithmetic number, because the mean of its divisors is an integer number (6555360).

Almost surely, 2116120544 is an apocalyptic number.

It is an amenable number.

116120544 is an abundant number, since it is smaller than the sum of its proper divisors (198536736).

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

116120544 is a wasteful number, since it uses less digits than its factorization.

116120544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39063 (or 39055 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 116120544 is about 10775.9242759032. The cubic root of 116120544 is about 487.8687723831.

The spelling of 116120544 in words is "one hundred sixteen million, one hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 39019 78038 117057 156076 234114 312152 468228 624304 936456 1209589 1248608 1872912 2419178 3628767 3745824 4838356 7257534 9676712 14515068 19353424 29030136 38706848 58060272 116120544