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13973568 = 263737281
BaseRepresentation
bin110101010011…
…100001000000
3222021221010120
4311103201000
512034123233
61215300240
7226526160
oct65234100
928257116
1013973568
117984604
12481a680
132b833ab
141bda5a0
1513604b3
hexd53840

13973568 has 112 divisors (see below), whose sum is σ = 43549824. Its totient is φ = 3870720.

The previous prime is 13973551. The next prime is 13973593. The reversal of 13973568 is 86537931.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49588 + ... + 49868.

Almost surely, 213973568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13973568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21774912).

13973568 is an abundant number, since it is smaller than the sum of its proper divisors (29576256).

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

13973568 is a wasteful number, since it uses less digits than its factorization.

13973568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 13973568 is about 3738.1235934624. The cubic root of 13973568 is about 240.8624525746.

It can be divided in two parts, 13973 and 568, that added together give a palindrome (14541).

The spelling of 13973568 in words is "thirteen million, nine hundred seventy-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 281 296 336 444 448 518 562 592 672 777 843 888 1036 1124 1184 1344 1554 1686 1776 1967 2072 2248 2368 3108 3372 3552 3934 4144 4496 5901 6216 6744 7104 7868 8288 8992 10397 11802 12432 13488 15736 16576 17984 20794 23604 24864 26976 31191 31472 41588 47208 49728 53952 62382 62944 72779 83176 94416 124764 125888 145558 166352 188832 218337 249528 291116 332704 377664 436674 499056 582232 665408 873348 998112 1164464 1746696 1996224 2328928 3493392 4657856 6986784 13973568