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120250020 = 2235111671091
BaseRepresentation
bin1110010101011…
…01111010100100
322101021100000110
413022231322210
5221241000040
615533213020
72660052102
oct712557244
9271240013
10120250020
1161972690
1234331170
131bbb3977
1411d82c72
15a854980
hex72adea4

120250020 has 96 divisors (see below), whose sum is σ = 369847296. Its totient is φ = 28950400.

The previous prime is 120250019. The next prime is 120250021. The reversal of 120250020 is 20052021.

It is an interprime number because it is at equal distance from previous prime (120250019) and next prime (120250021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120249978 and 120250005.

It is not an unprimeable number, because it can be changed into a prime (120250021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109675 + ... + 110765.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2120250020 is an apocalyptic number.

120250020 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 120250020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

120250020 is an abundant number, since it is smaller than the sum of its proper divisors (249597276).

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

120250020 is a wasteful number, since it uses less digits than its factorization.

120250020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 120250020 is about 10965.8570116521. The cubic root of 120250020 is about 493.5847340925.

The spelling of 120250020 in words is "one hundred twenty million, two hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 167 220 330 334 501 660 668 835 1002 1091 1670 1837 2004 2182 2505 3273 3340 3674 4364 5010 5455 5511 6546 7348 9185 10020 10910 11022 12001 13092 16365 18370 21820 22044 24002 27555 32730 36003 36740 48004 55110 60005 65460 72006 110220 120010 144012 180015 182197 240020 360030 364394 546591 720060 728788 910985 1093182 1821970 2004167 2186364 2732955 3643940 4008334 5465910 6012501 8016668 10020835 10931820 12025002 20041670 24050004 30062505 40083340 60125010 120250020