Search a number
-
+
126049920 = 273565651
BaseRepresentation
bin1111000001101…
…01111010000000
322210011222222120
413200311322000
5224232044140
620301404240
73060256323
oct740657200
9283158876
10126049920
1165174197
1236269680
1320164869
1412a527ba
15b0ed1d0
hex7835e80

126049920 has 64 divisors (see below), whose sum is σ = 401790240. Its totient is φ = 33612800.

The previous prime is 126049909. The next prime is 126049943. The reversal of 126049920 is 29940621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30906 + ... + 34745.

Almost surely, 2126049920 is an apocalyptic number.

126049920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126049920 is an abundant number, since it is smaller than the sum of its proper divisors (275740320).

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

126049920 is an equidigital number, since it uses as much as digits as its factorization.

126049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65673 (or 65661 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 126049920 is about 11227.1955536545. The cubic root of 126049920 is about 501.3959921180.

The spelling of 126049920 in words is "one hundred twenty-six million, forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 65651 131302 196953 262604 328255 393906 525208 656510 787812 984765 1050416 1313020 1575624 1969530 2100832 2626040 3151248 3939060 4201664 5252080 6302496 7878120 8403328 10504160 12604992 15756240 21008320 25209984 31512480 42016640 63024960 126049920