Search a number
-
+
120076044 = 223112412017
BaseRepresentation
bin1110010100000…
…11011100001100
322100221111100220
413022003130030
5221214413134
615525351340
72655425634
oct712033414
9270844326
10120076044
1161863a00
1234268550
131bb5271a
1411d396c4
15a81d149
hex728370c

120076044 has 72 divisors (see below), whose sum is σ = 315631344. Its totient is φ = 35481600.

The previous prime is 120076039. The next prime is 120076057. The reversal of 120076044 is 440670021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58524 + ... + 60540.

Almost surely, 2120076044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120076044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157815672).

120076044 is an abundant number, since it is smaller than the sum of its proper divisors (195555300).

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

120076044 is a wasteful number, since it uses less digits than its factorization.

120076044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 120076044 is about 10957.9215182442. The cubic root of 120076044 is about 493.3465821050.

The spelling of 120076044 in words is "one hundred twenty million, seventy-six thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 121 123 132 164 242 246 363 451 484 492 726 902 1353 1452 1804 2017 2706 4034 4961 5412 6051 8068 9922 12102 14883 19844 22187 24204 29766 44374 59532 66561 82697 88748 133122 165394 244057 248091 266244 330788 488114 496182 732171 909667 976228 992364 1464342 1819334 2729001 2928684 3638668 5458002 10006337 10916004 20012674 30019011 40025348 60038022 120076044