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120488032 = 2572512143
BaseRepresentation
bin1110010111010…
…00000001100000
322101201102111201
413023220001200
5221321104112
615542250544
72662063030
oct713500140
9271642451
10120488032
1162015495
1234426a54
131bc680c2
14120058c0
15a8a0257
hex72e8060

120488032 has 48 divisors (see below), whose sum is σ = 272305152. Its totient is φ = 51408000.

The previous prime is 120488003. The next prime is 120488047. The reversal of 120488032 is 230884021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55153 + ... + 57295.

It is an arithmetic number, because the mean of its divisors is an integer number (5673024).

Almost surely, 2120488032 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 120488032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136152576).

120488032 is an abundant number, since it is smaller than the sum of its proper divisors (151817120).

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

120488032 is a wasteful number, since it uses less digits than its factorization.

120488032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 120488032 is about 10976.7040590516. The cubic root of 120488032 is about 493.9101717811.

The spelling of 120488032 in words is "one hundred twenty million, four hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 251 502 1004 1757 2008 2143 3514 4016 4286 7028 8032 8572 14056 15001 17144 28112 30002 34288 56224 60004 68576 120008 240016 480032 537893 1075786 2151572 3765251 4303144 7530502 8606288 15061004 17212576 30122008 60244016 120488032