Search a number
-
+
120249144 = 2333556709
BaseRepresentation
bin1110010101011…
…01101100111000
322101021021211000
413022231230320
5221240433034
615533205000
72660046411
oct712555470
9271237730
10120249144
1161971a64
1234330760
131bbb3452
1411d82808
15a854599
hex72adb38

120249144 has 32 divisors (see below), whose sum is σ = 334026000. Its totient is φ = 40082976.

The previous prime is 120249131. The next prime is 120249161. The reversal of 120249144 is 441942021.

It is a happy number.

It is a super-3 number, since 3×1202491443 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 278139 + ... + 278570.

Almost surely, 2120249144 is an apocalyptic number.

It is an amenable number.

120249144 is an abundant number, since it is smaller than the sum of its proper divisors (213776856).

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

120249144 is a wasteful number, since it uses less digits than its factorization.

120249144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556724 (or 556714 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120249144 is about 10965.8170694208. The cubic root of 120249144 is about 493.5835355306.

The spelling of 120249144 in words is "one hundred twenty million, two hundred forty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 556709 1113418 1670127 2226836 3340254 4453672 5010381 6680508 10020762 13361016 15031143 20041524 30062286 40083048 60124572 120249144