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120604092 = 22372443463
BaseRepresentation
bin1110011000001…
…00010110111100
322101221022201020
413030010112330
5221333312332
615544544140
72663055300
oct714042674
9271838636
10120604092
1162094704
1234482050
131bca8b8b
1412035d00
15a8c482c
hex73045bc

120604092 has 72 divisors (see below), whose sum is σ = 328801536. Its totient is φ = 34306272.

The previous prime is 120604091. The next prime is 120604117. The reversal of 120604092 is 290406021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120604091) 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, 260253 + ... + 260715.

It is an arithmetic number, because the mean of its divisors is an integer number (4566688).

Almost surely, 2120604092 is an apocalyptic number.

120604092 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 120604092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164400768).

120604092 is an abundant number, since it is smaller than the sum of its proper divisors (208197444).

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

120604092 is a wasteful number, since it uses less digits than its factorization.

120604092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 918 counting only the distinct ones).

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

The square root of 120604092 is about 10981.9894372559. The cubic root of 120604092 is about 494.0687070810.

The spelling of 120604092 in words is "one hundred twenty million, six hundred four thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 443 463 588 886 926 1329 1389 1772 1852 2658 2778 3101 3241 5316 5556 6202 6482 9303 9723 12404 12964 18606 19446 21707 22687 37212 38892 43414 45374 65121 68061 86828 90748 130242 136122 205109 260484 272244 410218 615327 820436 1230654 1435763 2461308 2871526 4307289 5743052 8614578 10050341 17229156 20100682 30151023 40201364 60302046 120604092