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120010920 = 23353132261
BaseRepresentation
bin1110010011100…
…11100010101000
322100211012000220
413021303202220
5221210322140
615524130040
72655035031
oct711634250
9270735026
10120010920
1161819a87
1234236920
131bb2bba3
1411d1da88
15a808bd0
hex72738a8

120010920 has 64 divisors (see below), whose sum is σ = 371658240. Its totient is φ = 30969600.

The previous prime is 120010907. The next prime is 120010949. The reversal of 120010920 is 29010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

120010920 is a modest number, since divided by 10920 gives 120 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 120010920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12411 + ... + 19850.

It is an arithmetic number, because the mean of its divisors is an integer number (5807160).

Almost surely, 2120010920 is an apocalyptic number.

120010920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120010920 is an abundant number, since it is smaller than the sum of its proper divisors (251647320).

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

120010920 is a wasteful number, since it uses less digits than its factorization.

120010920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32306 (or 32302 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 120010920 is about 10954.9495662919. The cubic root of 120010920 is about 493.2573760989.

Adding to 120010920 its reverse (29010021), we get a palindrome (149020941).

The spelling of 120010920 in words is "one hundred twenty million, ten thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 32261 64522 96783 129044 161305 193566 258088 322610 387132 483915 645220 774264 967830 1000091 1290440 1935660 2000182 3000273 3871320 4000364 5000455 6000546 8000728 10000910 12001092 15001365 20001820 24002184 30002730 40003640 60005460 120010920