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120308640 = 2535250643
BaseRepresentation
bin1110010101111…
…00001110100000
322101101022102120
413022330032200
5221244334030
615534344240
72660415024
oct712741640
9271338376
10120308640
1161a02731
123435b080
131bc0455a
1411d9a384
15a867010
hex72bc3a0

120308640 has 48 divisors (see below), whose sum is σ = 378973728. Its totient is φ = 32082176.

The previous prime is 120308633. The next prime is 120308647. The reversal of 120308640 is 46803021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120308633) and next prime (120308647).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120308640.

It is not an unprimeable number, because it can be changed into a prime (120308647) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 124842 + ... + 125801.

It is an arithmetic number, because the mean of its divisors is an integer number (7895286).

Almost surely, 2120308640 is an apocalyptic number.

120308640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120308640 is an abundant number, since it is smaller than the sum of its proper divisors (258665088).

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

120308640 is a wasteful number, since it uses less digits than its factorization.

120308640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250661 (or 250653 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 120308640 is about 10968.5295276988. The cubic root of 120308640 is about 493.6649260037.

The spelling of 120308640 in words is "one hundred twenty million, three hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 250643 501286 751929 1002572 1253215 1503858 2005144 2506430 3007716 3759645 4010288 5012860 6015432 7519290 8020576 10025720 12030864 15038580 20051440 24061728 30077160 40102880 60154320 120308640