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8013996 = 22323143167
BaseRepresentation
bin11110100100100010101100
3120002011010200
4132210202230
54022421441
6443433500
7125055264
oct36444254
916064120
108013996
114584041
122825890
131877913
1410c87a4
15a847b6
hex7a48ac

8013996 has 72 divisors (see below), whose sum is σ = 21525504. Its totient is φ = 2509920.

The previous prime is 8013989. The next prime is 8014001. The reversal of 8013996 is 6993108.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8013996.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47905 + ... + 48071.

Almost surely, 28013996 is an apocalyptic number.

8013996 is a gapful number since it is divisible by the number (86) 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 8013996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10762752).

8013996 is an abundant number, since it is smaller than the sum of its proper divisors (13511508).

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

8013996 is a wasteful number, since it uses less digits than its factorization.

8013996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 8013996 is about 2830.9002101805. The cubic root of 8013996 is about 200.1165653827.

It can be divided in two parts, 8013 and 996, that added together give a palindrome (9009).

The spelling of 8013996 in words is "eight million, thirteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 167 172 186 258 279 334 372 387 501 516 558 668 774 1002 1116 1333 1503 1548 2004 2666 3006 3999 5177 5332 6012 7181 7998 10354 11997 14362 15531 15996 20708 21543 23994 28724 31062 43086 46593 47988 62124 64629 86172 93186 129258 186372 222611 258516 445222 667833 890444 1335666 2003499 2671332 4006998 8013996