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120431640 = 23357311461
BaseRepresentation
bin1110010110110…
…10010000011000
322101121120011010
413023122100120
5221312303030
615541133520
72661436440
oct713322030
9271546133
10120431640
1161a8708a
12343ba2a0
131bc48534
1411dcd120
15a88d6b0
hex72da418

120431640 has 128 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 27379200.

The previous prime is 120431627. The next prime is 120431651. The reversal of 120431640 is 46134021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261010 + ... + 261470.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2120431640 is an apocalyptic number.

120431640 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 120431640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

120431640 is an abundant number, since it is smaller than the sum of its proper divisors (294703080).

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

120431640 is a wasteful number, since it uses less digits than its factorization.

120431640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 120431640 is about 10974.1350456425. The cubic root of 120431640 is about 493.8331048493.

Adding to 120431640 its reverse (46134021), we get a palindrome (166565661).

The spelling of 120431640 in words is "one hundred twenty million, four hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 311 420 461 622 840 922 933 1244 1383 1555 1844 1866 2177 2305 2488 2766 3110 3227 3688 3732 4354 4610 4665 5532 6220 6454 6531 6915 7464 8708 9220 9330 9681 10885 11064 12440 12908 13062 13830 16135 17416 18440 18660 19362 21770 25816 26124 27660 32270 32655 37320 38724 43540 48405 52248 55320 64540 65310 77448 87080 96810 129080 130620 143371 193620 261240 286742 387240 430113 573484 716855 860226 1003597 1146968 1433710 1720452 2007194 2150565 2867420 3010791 3440904 4014388 4301130 5017985 5734840 6021582 8028776 8602260 10035970 12043164 15053955 17204520 20071940 24086328 30107910 40143880 60215820 120431640