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120234192 = 24313434481
BaseRepresentation
bin1110010101010…
…10000011010000
322101020112022020
413022222003100
5221234443232
615533011440
72656655001
oct712520320
9271215266
10120234192
1161961801
1234323b80
131bba96c0
1411d7b1a8
15a84ee2c
hex72aa0d0

120234192 has 80 divisors (see below), whose sum is σ = 342353088. Its totient is φ = 36126720.

The previous prime is 120234167. The next prime is 120234193. The reversal of 120234192 is 291432021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120234193) 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 15 ways as a sum of consecutive naturals, for example, 24592 + ... + 29072.

Almost surely, 2120234192 is an apocalyptic number.

120234192 is a gapful number since it is divisible by the number (12) 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 120234192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171176544).

120234192 is an abundant number, since it is smaller than the sum of its proper divisors (222118896).

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

120234192 is a wasteful number, since it uses less digits than its factorization.

120234192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 120234192 is about 10965.1352932830. The cubic root of 120234192 is about 493.5630769874.

The spelling of 120234192 in words is "one hundred twenty million, two hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 3354 4472 4481 6708 8944 8962 13416 13443 17924 26832 26886 35848 53772 58253 71696 107544 116506 174759 192683 215088 233012 349518 385366 466024 578049 699036 770732 932048 1156098 1398072 1541464 2312196 2504879 2796144 3082928 4624392 5009758 7514637 9248784 10019516 15029274 20039032 30058548 40078064 60117096 120234192