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120399552 = 26327132297
BaseRepresentation
bin1110010110100…
…10011011000000
322101112221010200
413023102123000
5221310241202
615540325200
72661244050
oct713223300
9271487120
10120399552
1161a64a69
12343a3800
131bc36a50
1411dc1560
15a883e1c
hex72d26c0

120399552 has 168 divisors, whose sum is σ = 424927776. Its totient is φ = 31739904.

The previous prime is 120399511. The next prime is 120399553. The reversal of 120399552 is 255993021.

It is a happy number.

120399552 is a `hidden beast` number, since 12 + 0 + 3 + 99 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (120399553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51268 + ... + 53564.

It is an arithmetic number, because the mean of its divisors is an integer number (2529332).

Almost surely, 2120399552 is an apocalyptic number.

120399552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120399552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212463888).

120399552 is an abundant number, since it is smaller than the sum of its proper divisors (304528224).

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

120399552 is a wasteful number, since it uses less digits than its factorization.

120399552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 120399552 is about 10972.6729651439. The cubic root of 120399552 is about 493.7892417243.

The spelling of 120399552 in words is "one hundred twenty million, three hundred ninety-nine thousand, five hundred fifty-two".