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120726640 = 2456532311
BaseRepresentation
bin1110011001000…
…10010001110000
322102011112211001
413030202101300
5221401223030
615551331344
72664105466
oct714422160
9272145731
10120726640
1162168791
1234520b54
131c01c8a8
1412068836
15a8eacca
hex7322470

120726640 has 40 divisors (see below), whose sum is σ = 281240928. Its totient is φ = 48195840.

The previous prime is 120726629. The next prime is 120726647. The reversal of 120726640 is 46627021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 120726599 and 120726608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120726647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51085 + ... + 53395.

Almost surely, 2120726640 is an apocalyptic number.

120726640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120726640 is an abundant number, since it is smaller than the sum of its proper divisors (160514288).

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

120726640 is a wasteful number, since it uses less digits than its factorization.

120726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 120726640 is about 10987.5675197015. The cubic root of 120726640 is about 494.2359944834.

The spelling of 120726640 in words is "one hundred twenty million, seven hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 653 1306 2311 2612 3265 4622 5224 6530 9244 10448 11555 13060 18488 23110 26120 36976 46220 52240 92440 184880 1509083 3018166 6036332 7545415 12072664 15090830 24145328 30181660 60363320 120726640