Search a number
-
+
63904140 = 22385487
BaseRepresentation
bin1111001111000…
…1100110001100
311110020200000000
43303301212030
5112324413030
610201404300
71404114306
oct363614614
9143220000
1063904140
1133088143
1219499690
1310316001
1486b6976
155924860
hex3cf198c

63904140 has 108 divisors (see below), whose sum is σ = 201701136. Its totient is φ = 17006112.

The previous prime is 63904133. The next prime is 63904151. The reversal of 63904140 is 4140936.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130977 + ... + 131463.

Almost surely, 263904140 is an apocalyptic number.

63904140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63904140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100850568).

63904140 is an abundant number, since it is smaller than the sum of its proper divisors (137796996).

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

63904140 is an equidigital number, since it uses as much as digits as its factorization.

63904140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 63904140 is about 7994.0065048760. The cubic root of 63904140 is about 399.8001918751.

The spelling of 63904140 in words is "sixty-three million, nine hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 487 540 729 810 972 974 1215 1458 1461 1620 1948 2187 2430 2435 2916 2922 3645 4374 4383 4860 4870 5844 6561 7290 7305 8748 8766 9740 10935 13122 13149 14580 14610 17532 21870 21915 26244 26298 29220 32805 39447 43740 43830 52596 65610 65745 78894 87660 118341 131220 131490 157788 197235 236682 262980 355023 394470 473364 591705 710046 788940 1065069 1183410 1420092 1775115 2130138 2366820 3195207 3550230 4260276 5325345 6390414 7100460 10650690 12780828 15976035 21301380 31952070 63904140