Search a number
-
+
120428676 = 2232312592
BaseRepresentation
bin1110010110110…
…01100010000100
322101121102002100
413023121202010
5221312204201
615541112100
72661425004
oct713314204
9271542070
10120428676
1161a84935
12343b8630
131bc47094
1411dcc004
15a88c886
hex72d9884

120428676 has 81 divisors (see below), whose sum is σ = 319975383. Its totient is φ = 38189520.

The previous prime is 120428641. The next prime is 120428683. The reversal of 120428676 is 676824021.

The square root of 120428676 is 10974.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1204286762 = 29006132006225952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120428676.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2041135 + ... + 2041193.

Almost surely, 2120428676 is an apocalyptic number.

120428676 is the 10974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120428676

120428676 is an abundant number, since it is smaller than the sum of its proper divisors (199546707).

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

120428676 is a wasteful number, since it uses less digits than its factorization.

120428676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 120428676 is about 493.8290534961.

Multiplying 120428676 by its sum of digits (36), we get a square (4335432336 = 658442).

120428676 divided by its sum of digits (36) gives a square (3345241 = 18292).

It can be divided in two parts, 120428 and 676, that added together give a square (121104 = 3482).

The spelling of 120428676 in words is "one hundred twenty million, four hundred twenty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 177 186 236 279 354 372 531 558 708 961 1062 1116 1829 1922 2124 2883 3481 3658 3844 5487 5766 6962 7316 8649 10443 10974 11532 13924 16461 17298 20886 21948 31329 32922 34596 41772 56699 62658 65844 107911 113398 125316 170097 215822 226796 323733 340194 431644 510291 647466 680388 971199 1020582 1294932 1942398 2041164 3345241 3884796 6690482 10035723 13380964 20071446 30107169 40142892 60214338 120428676