Search a number
-
+
120414080 = 275188147
BaseRepresentation
bin1110010110101…
…01111110000000
322101120200001202
413023111332000
5221311222310
615540520332
72661334313
oct713257600
9271520052
10120414080
1161a74976
12343b00a8
131bc40547
1411dc697a
15a8883a5
hex72d5f80

120414080 has 32 divisors (see below), whose sum is σ = 287866440. Its totient is φ = 48165376.

The previous prime is 120414079. The next prime is 120414097. The reversal of 120414080 is 80414021.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93434 + ... + 94713.

Almost surely, 2120414080 is an apocalyptic number.

120414080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120414080 is an abundant number, since it is smaller than the sum of its proper divisors (167452360).

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

120414080 is an equidigital number, since it uses as much as digits as its factorization.

120414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188166 (or 188154 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 120414080 is about 10973.3349534223. The cubic root of 120414080 is about 493.8091019355.

The spelling of 120414080 in words is "one hundred twenty million, four hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 188147 376294 752588 940735 1505176 1881470 3010352 3762940 6020704 7525880 12041408 15051760 24082816 30103520 60207040 120414080