Search a number
-
+
15993320 = 235757119
BaseRepresentation
bin111101000000…
…100111101000
31010002112201012
4331000213220
513043241240
61330443052
7252640520
oct75004750
933075635
1015993320
119034022
125433488
13340c805
1421a4680
15160db65
hexf409e8

15993320 has 32 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 5483328.

The previous prime is 15993317. The next prime is 15993323. The reversal of 15993320 is 2339951.

15993320 = 3212 + 3222 + ... + 4322.

It is an interprime number because it is at equal distance from previous prime (15993317) and next prime (15993323).

It is not an unprimeable number, because it can be changed into a prime (15993323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28280 + ... + 28839.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 215993320 is an apocalyptic number.

15993320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15993320 is an abundant number, since it is smaller than the sum of its proper divisors (25133080).

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

15993320 is a wasteful number, since it uses less digits than its factorization.

15993320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57137 (or 57133 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 15993320 is about 3999.1649128287. The cubic root of 15993320 is about 251.9491372950.

The spelling of 15993320 in words is "fifteen million, nine hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 57119 114238 228476 285595 399833 456952 571190 799666 1142380 1599332 1999165 2284760 3198664 3998330 7996660 15993320