Search a number
-
+
14935620 = 2235743827
BaseRepresentation
bin111000111110…
…011001000100
31001002210211010
4320332121010
512310414440
61252042220
7240644040
oct70763104
931083733
1014935620
118481397
125003370
13312c25b
141dab020
1514a0580
hexe3e644

14935620 has 96 divisors (see below), whose sum is σ = 48964608. Its totient is φ = 3330432.

The previous prime is 14935619. The next prime is 14935621. The reversal of 14935620 is 2653941.

14935620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14935619) and next prime (14935621).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14935621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17647 + ... + 18473.

It is an arithmetic number, because the mean of its divisors is an integer number (510048).

Almost surely, 214935620 is an apocalyptic number.

14935620 is a gapful number since it is divisible by the number (10) 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 14935620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24482304).

14935620 is an abundant number, since it is smaller than the sum of its proper divisors (34028988).

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

14935620 is a wasteful number, since it uses less digits than its factorization.

14935620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 14935620 is about 3864.6629866005. The cubic root of 14935620 is about 246.2678686991.

The spelling of 14935620 in words is "fourteen million, nine hundred thirty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 827 860 903 1204 1290 1505 1654 1806 2481 2580 3010 3308 3612 4135 4515 4962 5789 6020 8270 9030 9924 11578 12405 16540 17367 18060 23156 24810 28945 34734 35561 49620 57890 69468 71122 86835 106683 115780 142244 173670 177805 213366 248927 347340 355610 426732 497854 533415 711220 746781 995708 1066830 1244635 1493562 2133660 2489270 2987124 3733905 4978540 7467810 14935620