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120716892 = 22342291627
BaseRepresentation
bin1110011000111…
…11111001011100
322102011001110000
413030133321130
5221400420032
615551214300
72664035202
oct714377134
9272131400
10120716892
116216142a
1234517390
131c01831a
1412065072
15a8e7e7c
hex731fe5c

120716892 has 60 divisors (see below), whose sum is σ = 317150680. Its totient is φ = 40038624.

The previous prime is 120716887. The next prime is 120716909. The reversal of 120716892 is 298617021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73383 + ... + 75009.

Almost surely, 2120716892 is an apocalyptic number.

120716892 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 120716892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158575340).

120716892 is an abundant number, since it is smaller than the sum of its proper divisors (196433788).

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

120716892 is a wasteful number, since it uses less digits than its factorization.

120716892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 120716892 is about 10987.1239184784. The cubic root of 120716892 is about 494.2226918626. Note that the first 3 decimals are identical.

The spelling of 120716892 in words is "one hundred twenty million, seven hundred sixteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 229 324 458 687 916 1374 1627 2061 2748 3254 4122 4881 6183 6508 8244 9762 12366 14643 18549 19524 24732 29286 37098 43929 58572 74196 87858 131787 175716 263574 372583 527148 745166 1117749 1490332 2235498 3353247 4470996 6706494 10059741 13412988 20119482 30179223 40238964 60358446 120716892