Search a number
-
+
120416080 = 2451505201
BaseRepresentation
bin1110010110101…
…10011101010000
322101120202210211
413023112131100
5221311303310
615540533504
72661343201
oct713263520
9271522724
10120416080
1161a76424
12343b1294
131bc41425
1411dc75a8
15a888c8a
hex72d6750

120416080 has 20 divisors (see below), whose sum is σ = 279967572. Its totient is φ = 48166400.

The previous prime is 120416069. The next prime is 120416081. The reversal of 120416080 is 80614021.

It can be written as a sum of positive squares in 2 ways, for example, as 73136704 + 47279376 = 8552^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120416081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 752521 + ... + 752680.

Almost surely, 2120416080 is an apocalyptic number.

120416080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120416080 is an abundant number, since it is smaller than the sum of its proper divisors (159551492).

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

120416080 is a wasteful number, since it uses less digits than its factorization.

120416080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505214 (or 1505208 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 120416080 is about 10973.4260830426. The cubic root of 120416080 is about 493.8118358703.

The spelling of 120416080 in words is "one hundred twenty million, four hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1505201 3010402 6020804 7526005 12041608 15052010 24083216 30104020 60208040 120416080