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15990048 = 253431199
BaseRepresentation
bin111100111111…
…110100100000
31010002101020000
4330333310200
513043140143
61330420000
7252625134
oct74776440
933071200
1015990048
119031618
125431600
13340b189
1421a33c4
15160cbd3
hexf3fd20

15990048 has 120 divisors (see below), whose sum is σ = 48787200. Its totient is φ = 5132160.

The previous prime is 15990043. The next prime is 15990053. The reversal of 15990048 is 84009951.

It is an interprime number because it is at equal distance from previous prime (15990043) and next prime (15990053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15989994 and 15990021.

It is not an unprimeable number, because it can be changed into a prime (15990043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80253 + ... + 80451.

It is an arithmetic number, because the mean of its divisors is an integer number (406560).

Almost surely, 215990048 is an apocalyptic number.

15990048 is a gapful number since it is divisible by the number (18) 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 15990048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393600).

15990048 is an abundant number, since it is smaller than the sum of its proper divisors (32797152).

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

15990048 is a wasteful number, since it uses less digits than its factorization.

15990048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 15990048 is about 3998.7558064978. The cubic root of 15990048 is about 251.9319544170.

Adding to 15990048 its product of nonzero digits (12960), we get a cube (16003008 = 2523).

Adding to 15990048 its reverse (84009951), we get a palindrome (99999999).

The spelling of 15990048 in words is "fifteen million, nine hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 199 216 248 279 288 324 372 398 432 496 558 597 648 744 796 837 864 992 1116 1194 1296 1488 1592 1674 1791 2232 2388 2511 2592 2976 3184 3348 3582 4464 4776 5022 5373 6169 6368 6696 7164 8928 9552 10044 10746 12338 13392 14328 16119 18507 19104 20088 21492 24676 26784 28656 32238 37014 40176 42984 49352 55521 57312 64476 74028 80352 85968 98704 111042 128952 148056 166563 171936 197408 222084 257904 296112 333126 444168 499689 515808 592224 666252 888336 999378 1332504 1776672 1998756 2665008 3997512 5330016 7995024 15990048