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120972943 = 71319313761
BaseRepresentation
bin1110011010111…
…10011010001111
322102122001200101
413031132122033
5221432113233
620000511531
72666152540
oct715363217
9272561611
10120972943
1162316843
123461b5a7
131c0a7a30
14120d04c7
15a948c7d
hex735e68f

120972943 has 64 divisors (see below), whose sum is σ = 168878080. Its totient is φ = 83980800.

The previous prime is 120972931. The next prime is 120972997. The reversal of 120972943 is 349279021.

It is a cyclic number.

It is not a de Polignac number, because 120972943 - 25 = 120972911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120972913) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1983133 + ... + 1983193.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2120972943 is an apocalyptic number.

120972943 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

120972943 is a deficient number, since it is larger than the sum of its proper divisors (47905137).

120972943 is a wasteful number, since it uses less digits than its factorization.

120972943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 120972943 is about 10998.7700676030. The cubic root of 120972943 is about 494.5718748306.

The spelling of 120972943 in words is "one hundred twenty million, nine hundred seventy-two thousand, nine hundred forty-three".

Divisors: 1 7 13 19 31 37 61 91 133 217 247 259 403 427 481 589 703 793 1147 1159 1729 1891 2257 2821 3367 4123 4921 5551 7657 8029 8113 9139 13237 14911 15067 15799 21793 24583 29341 35929 42883 53599 63973 69967 104377 105469 152551 172081 205387 251503 283309 300181 467077 489769 557479 909571 1329373 1983163 3269539 3902353 6366997 9305611 17281849 120972943