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120978130 = 25713196997
BaseRepresentation
bin1110011010111…
…11101011010010
322102122022210111
413031133223102
5221432300010
620000551534
72666203630
oct715375322
9272568714
10120978130
116231a729
12346225aa
131c0aa1c0
14120d2350
15a94a58a
hex735fad2

120978130 has 64 divisors (see below), whose sum is σ = 282159360. Its totient is φ = 36267264.

The previous prime is 120978127. The next prime is 120978131. The reversal of 120978130 is 31879021.

It is a junction number, because it is equal to n+sod(n) for n = 120978092 and 120978101.

It is not an unprimeable number, because it can be changed into a prime (120978131) 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 31 ways as a sum of consecutive naturals, for example, 13792 + ... + 20788.

It is an arithmetic number, because the mean of its divisors is an integer number (4408740).

Almost surely, 2120978130 is an apocalyptic number.

120978130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120978130 is an abundant number, since it is smaller than the sum of its proper divisors (161181230).

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

120978130 is a wasteful number, since it uses less digits than its factorization.

120978130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 120978130 is about 10999.0058641679. The cubic root of 120978130 is about 494.5789433744.

The spelling of 120978130 in words is "one hundred twenty million, nine hundred seventy-eight thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 19 26 35 38 65 70 91 95 130 133 182 190 247 266 455 494 665 910 1235 1330 1729 2470 3458 6997 8645 13994 17290 34985 48979 69970 90961 97958 132943 181922 244895 265886 454805 489790 636727 664715 909610 930601 1273454 1329430 1728259 1861202 3183635 3456518 4653005 6367270 8641295 9306010 12097813 17282590 24195626 60489065 120978130