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120408080 = 24513115777
BaseRepresentation
bin1110010110101…
…00100000010000
322101120100211112
413023110200100
5221311024310
615540432452
72661310652
oct713244020
9271510745
10120408080
1161a70411
12343a8728
131bc3a8b0
1411dc46d2
15a886705
hex72d4810

120408080 has 40 divisors (see below), whose sum is σ = 301485912. Its totient is φ = 44457984.

The previous prime is 120408037. The next prime is 120408089. The reversal of 120408080 is 80804021.

It can be written as a sum of positive squares in 4 ways, for example, as 1336336 + 119071744 = 1156^2 + 10912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (120408089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56849 + ... + 58928.

Almost surely, 2120408080 is an apocalyptic number.

120408080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120408080 is an abundant number, since it is smaller than the sum of its proper divisors (181077832).

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

120408080 is a wasteful number, since it uses less digits than its factorization.

120408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115803 (or 115797 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 120408080 is about 10973.0615600205. The cubic root of 120408080 is about 493.8008999494.

The spelling of 120408080 in words is "one hundred twenty million, four hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 115777 231554 463108 578885 926216 1157770 1505101 1852432 2315540 3010202 4631080 6020404 7525505 9262160 12040808 15051010 24081616 30102020 60204040 120408080