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120195960 = 23357313721
BaseRepresentation
bin1110010101000…
…00101101111000
322101011120212020
413022200231320
5221232232320
615532114440
72656435353
oct712405570
9271146766
10120195960
1161936005
1234305a20
131bb95191
1411d6b29a
15a843940
hex72a0b78

120195960 has 64 divisors (see below), whose sum is σ = 365554080. Its totient is φ = 31610880.

The previous prime is 120195947. The next prime is 120196007. The reversal of 120195960 is 69591021.

It is a congruent number.

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, 1900 + ... + 15620.

Almost surely, 2120195960 is an apocalyptic number.

120195960 is a gapful number since it is divisible by the number (10) 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 120195960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182777040).

120195960 is an abundant number, since it is smaller than the sum of its proper divisors (245358120).

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

120195960 is a wasteful number, since it uses less digits than its factorization.

120195960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13808 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 120195960 is about 10963.3918109315. The cubic root of 120195960 is about 493.5107571392.

The spelling of 120195960 in words is "one hundred twenty million, one hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 13721 27442 41163 54884 68605 82326 109768 137210 164652 205815 274420 329304 411630 548840 823260 1001633 1646520 2003266 3004899 4006532 5008165 6009798 8013064 10016330 12019596 15024495 20032660 24039192 30048990 40065320 60097980 120195960