Search a number
-
+
15869920 = 2551171127
BaseRepresentation
bin111100100010…
…011111100000
31002212021102211
4330202133200
513030314140
61324051504
7251614663
oct74423740
932767384
1015869920
118a5a340
125393b94
1333985b1
1421716da
1515d72ea
hexf227e0

15869920 has 96 divisors (see below), whose sum is σ = 41803776. Its totient is φ = 5644800.

The previous prime is 15869897. The next prime is 15869927. The reversal of 15869920 is 2996851.

15869920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15869927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124897 + ... + 125023.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 215869920 is an apocalyptic number.

15869920 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 15869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888).

15869920 is an abundant number, since it is smaller than the sum of its proper divisors (25933856).

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

15869920 is a wasteful number, since it uses less digits than its factorization.

15869920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 15869920 is about 3983.7068165215. The cubic root of 15869920 is about 251.2994737686.

The spelling of 15869920 in words is "fifteen million, eight hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 71 80 88 110 127 142 160 176 220 254 284 352 355 440 508 568 635 710 781 880 1016 1136 1270 1397 1420 1562 1760 2032 2272 2540 2794 2840 3124 3905 4064 5080 5588 5680 6248 6985 7810 9017 10160 11176 11360 12496 13970 15620 18034 20320 22352 24992 27940 31240 36068 44704 45085 55880 62480 72136 90170 99187 111760 124960 144272 180340 198374 223520 288544 360680 396748 495935 721360 793496 991870 1442720 1586992 1983740 3173984 3967480 7934960 15869920