Search a number
-
+
15420900 = 22352114673
BaseRepresentation
bin111010110100…
…110111100100
31002000110111110
4322310313210
512421432100
61310305020
7245034615
oct72646744
932013443
1015420900
118782a50
1251b8170
13326c0c1
142095c0c
151549250
hexeb4de4

15420900 has 72 divisors (see below), whose sum is σ = 48684384. Its totient is φ = 3737600.

The previous prime is 15420877. The next prime is 15420901. The reversal of 15420900 is 902451.

It is not an unprimeable number, because it can be changed into a prime (15420901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964 + ... + 5636.

It is an arithmetic number, because the mean of its divisors is an integer number (676172).

Almost surely, 215420900 is an apocalyptic number.

15420900 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 15420900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24342192).

15420900 is an abundant number, since it is smaller than the sum of its proper divisors (33263484).

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

15420900 is a wasteful number, since it uses less digits than its factorization.

15420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 15420900 is about 3926.9453777714. The cubic root of 15420900 is about 248.9066923501.

The spelling of 15420900 in words is "fifteen million, four hundred twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 4673 9346 14019 18692 23365 28038 46730 51403 56076 70095 93460 102806 116825 140190 154209 205612 233650 257015 280380 308418 350475 467300 514030 616836 700950 771045 1028060 1285075 1401900 1542090 2570150 3084180 3855225 5140300 7710450 15420900