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4113623920 = 24577345757
BaseRepresentation
bin1111010100110000…
…1110101101110000
3101121200111202011111
43311030032231300
531411041431140
61520105123104
7203640140440
oct36514165560
911550452144
104113623920
11182104059a
12969789494
135073253c3
142b0490120
1519121b7ea
hexf530eb70

4113623920 has 40 divisors (see below), whose sum is σ = 10930487904. Its totient is φ = 1410385152.

The previous prime is 4113623887. The next prime is 4113623947. The reversal of 4113623920 is 293263114.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3672319 + ... + 3673438.

Almost surely, 24113623920 is an apocalyptic number.

4113623920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113623920 is an abundant number, since it is smaller than the sum of its proper divisors (6816863984).

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

4113623920 is a wasteful number, since it uses less digits than its factorization.

4113623920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345777 (or 7345771 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 4113623920 is about 64137.5390859362. The cubic root of 4113623920 is about 1602.2914978318.

It can be divided in two parts, 41136 and 23920, that added together give a palindrome (65056).

The spelling of 4113623920 in words is "four billion, one hundred thirteen million, six hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7345757 14691514 29383028 36728785 51420299 58766056 73457570 102840598 117532112 146915140 205681196 257101495 293830280 411362392 514202990 587660560 822724784 1028405980 2056811960 4113623920