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120988725 = 352111329389
BaseRepresentation
bin1110011011000…
…10010000110101
322102122212022220
413031202100311
5221433114400
620001112553
72666246544
oct715422065
9272585286
10120988725
1162327690
1234628759
131c0b1c80
14120d615b
15a94d7a0
hex7362435

120988725 has 96 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 52147200.

The previous prime is 120988697. The next prime is 120988727. The reversal of 120988725 is 527889021.

It is not a de Polignac number, because 120988725 - 27 = 120988597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120988727) 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 95 ways as a sum of consecutive naturals, for example, 310831 + ... + 311219.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2120988725 is an apocalyptic number.

120988725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120988725 is an abundant number, since it is smaller than the sum of its proper divisors (122745675).

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

120988725 is a wasteful number, since it uses less digits than its factorization.

120988725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 120988725 is about 10999.4874880605. The cubic root of 120988725 is about 494.5933810003.

The spelling of 120988725 in words is "one hundred twenty million, nine hundred eighty-eight thousand, seven hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 29 33 39 55 65 75 87 143 145 165 195 275 319 325 377 389 429 435 715 725 825 957 975 1131 1167 1595 1885 1945 2145 2175 3575 4147 4279 4785 5057 5655 5835 7975 9425 9725 10725 11281 12441 12837 15171 20735 21395 23925 25285 28275 29175 33843 55627 56405 62205 64185 75855 103675 106975 124091 126425 146653 166881 169215 278135 282025 311025 320925 372273 379275 439959 620455 733265 834405 846075 1390675 1613183 1861365 2199795 3102275 3666325 4172025 4839549 8065915 9306825 10998975 24197745 40329575 120988725