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120691764 = 223223712053
BaseRepresentation
bin1110011000110…
…01110000110100
322102002202222100
413030121300310
5221344114024
615550502100
72663602014
oct714316064
9272082870
10120691764
1162144566
1234504930
131c009a5b
1412059c44
15a8e07c9
hex7319c34

120691764 has 72 divisors (see below), whose sum is σ = 322987392. Its totient is φ = 37920960.

The previous prime is 120691763. The next prime is 120691793. The reversal of 120691764 is 467196021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120691763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57762 + ... + 59814.

It is an arithmetic number, because the mean of its divisors is an integer number (4485936).

Almost surely, 2120691764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120691764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161493696).

120691764 is an abundant number, since it is smaller than the sum of its proper divisors (202295628).

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

120691764 is a wasteful number, since it uses less digits than its factorization.

120691764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 120691764 is about 10985.9803385952. The cubic root of 120691764 is about 494.1883976021.

The spelling of 120691764 in words is "one hundred twenty million, six hundred ninety-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 71 92 138 142 207 213 276 284 414 426 639 828 852 1278 1633 2053 2556 3266 4106 4899 6159 6532 8212 9798 12318 14697 18477 19596 24636 29394 36954 47219 58788 73908 94438 141657 145763 188876 283314 291526 424971 437289 566628 583052 849942 874578 1311867 1699884 1749156 2623734 3352549 5247468 6705098 10057647 13410196 20115294 30172941 40230588 60345882 120691764