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120250272 = 2537317159
BaseRepresentation
bin1110010101011…
…01111110100000
322101021100100210
413022231332200
5221241002042
615533214120
72660052612
oct712557640
9271240323
10120250272
116197289a
1234331340
131bbb3b0c
1411d82db2
15a854a9c
hex72adfa0

120250272 has 48 divisors (see below), whose sum is σ = 319999680. Its totient is φ = 39532032.

The previous prime is 120250267. The next prime is 120250283. The reversal of 120250272 is 272052021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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, 1572 + ... + 15587.

It is an arithmetic number, because the mean of its divisors is an integer number (6666660).

Almost surely, 2120250272 is an apocalyptic number.

120250272 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 120250272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159999840).

120250272 is an abundant number, since it is smaller than the sum of its proper divisors (199749408).

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

120250272 is a wasteful number, since it uses less digits than its factorization.

120250272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17245 (or 17237 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 120250272 is about 10965.8685018561. The cubic root of 120250272 is about 493.5850788832.

The spelling of 120250272 in words is "one hundred twenty million, two hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 17159 34318 51477 68636 102954 137272 205908 274544 411816 549088 823632 1252607 1647264 2505214 3757821 5010428 7515642 10020856 15031284 20041712 30062568 40083424 60125136 120250272