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120785940 = 2232511531151
BaseRepresentation
bin1110011001100…
…00110000010100
322102021120011100
413030300300110
5221410122230
615552510100
72664443412
oct714606024
9272246140
10120785940
11621a92a0
123454b330
131c040892
14120822b2
15a90d660
hex7330c14

120785940 has 144 divisors (see below), whose sum is σ = 407586816. Its totient is φ = 28704000.

The previous prime is 120785891. The next prime is 120785941. The reversal of 120785940 is 49587021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120785895 and 120785904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120785941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104365 + ... + 105515.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2120785940 is an apocalyptic number.

120785940 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 120785940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).

120785940 is an abundant number, since it is smaller than the sum of its proper divisors (286800876).

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

120785940 is a wasteful number, since it uses less digits than its factorization.

120785940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 120785940 is about 10990.2656928757. The cubic root of 120785940 is about 494.3169028814.

The spelling of 120785940 in words is "one hundred twenty million, seven hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 132 159 165 180 198 212 220 265 318 330 396 477 495 530 583 636 660 795 954 990 1060 1151 1166 1590 1749 1908 1980 2302 2332 2385 2915 3180 3453 3498 4604 4770 5247 5755 5830 6906 6996 8745 9540 10359 10494 11510 11660 12661 13812 17265 17490 20718 20988 23020 25322 26235 34530 34980 37983 41436 50644 51795 52470 61003 63305 69060 75966 103590 104940 113949 122006 126610 151932 183009 189915 207180 227898 244012 253220 305015 366018 379830 455796 549027 569745 610030 671033 732036 759660 915045 1098054 1139490 1220060 1342066 1830090 2013099 2196108 2278980 2684132 2745135 3355165 3660180 4026198 5490270 6039297 6710330 8052396 10065495 10980540 12078594 13420660 20130990 24157188 30196485 40261980 60392970 120785940