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13845984 = 253197591
BaseRepresentation
bin110100110100…
…010111100000
3222001110010020
4310310113200
512021032414
61212433440
7225455205
oct64642740
928043106
1013845984
1178a7769
124778880
132b3a2b9
141ba5cac
1513377a9
hexd345e0

13845984 has 48 divisors (see below), whose sum is σ = 38263680. Its totient is φ = 4371840.

The previous prime is 13845971. The next prime is 13845991. The reversal of 13845984 is 48954831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×138459842 = 383422545856512, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1972 + ... + 5619.

It is an arithmetic number, because the mean of its divisors is an integer number (797160).

Almost surely, 213845984 is an apocalyptic number.

It is an amenable number.

13845984 is an abundant number, since it is smaller than the sum of its proper divisors (24417696).

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

13845984 is a wasteful number, since it uses less digits than its factorization.

13845984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7623 (or 7615 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 13845984 is about 3721.0192152151. The cubic root of 13845984 is about 240.1271548422.

The spelling of 13845984 in words is "thirteen million, eight hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 7591 15182 22773 30364 45546 60728 91092 121456 144229 182184 242912 288458 364368 432687 576916 728736 865374 1153832 1730748 2307664 3461496 4615328 6922992 13845984