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120049272 = 23327313761
BaseRepresentation
bin1110010011111…
…00111001111000
322100220010122100
413021330321320
5221213034042
615525023400
72655254610
oct711747170
9270803570
10120049272
1161845882
1234254b60
131bb43495
1411d2da40
15a81524c
hex727ce78

120049272 has 96 divisors (see below), whose sum is σ = 373258080. Its totient is φ = 34145280.

The previous prime is 120049261. The next prime is 120049309. The reversal of 120049272 is 272940021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157372 + ... + 158132.

It is an arithmetic number, because the mean of its divisors is an integer number (3888105).

Almost surely, 2120049272 is an apocalyptic number.

120049272 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 120049272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186629040).

120049272 is an abundant number, since it is smaller than the sum of its proper divisors (253208808).

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

120049272 is a wasteful number, since it uses less digits than its factorization.

120049272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 120049272 is about 10956.6998681172. The cubic root of 120049272 is about 493.3099140737.

Adding to 120049272 its reverse (272940021), we get a palindrome (392989293).

The spelling of 120049272 in words is "one hundred twenty million, forty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 313 504 626 761 939 1252 1522 1878 2191 2283 2504 2817 3044 3756 4382 4566 5327 5634 6088 6573 6849 7512 8764 9132 10654 11268 13146 13698 15981 17528 18264 19719 21308 22536 26292 27396 31962 39438 42616 47943 52584 54792 63924 78876 95886 127848 157752 191772 238193 383544 476386 714579 952772 1429158 1667351 1905544 2143737 2858316 3334702 4287474 5002053 5716632 6669404 8574948 10004106 13338808 15006159 17149896 20008212 30012318 40016424 60024636 120049272