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12089472 = 273191657
BaseRepresentation
bin101110000111…
…100010000000
3211202012122020
4232013202000
511043330342
61111041440
7204521163
oct56074200
924665566
1012089472
116907aaa
124070280
132673945
141869ada
1510dc0ec
hexb87880

12089472 has 64 divisors (see below), whose sum is σ = 33823200. Its totient is φ = 3815424.

The previous prime is 12089447. The next prime is 12089479. The reversal of 12089472 is 27498021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12089479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6468 + ... + 8124.

Almost surely, 212089472 is an apocalyptic number.

12089472 is a gapful number since it is divisible by the number (12) 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 12089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16911600).

12089472 is an abundant number, since it is smaller than the sum of its proper divisors (21733728).

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

12089472 is a wasteful number, since it uses less digits than its factorization.

12089472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 12089472 is about 3476.9918032690. The cubic root of 12089472 is about 229.5104394794.

It can be divided in two parts, 12089 and 472, that added together give a triangular number (12561 = T158).

The spelling of 12089472 in words is "twelve million, eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1657 1824 2432 3314 3648 4971 6628 7296 9942 13256 19884 26512 31483 39768 53024 62966 79536 94449 106048 125932 159072 188898 212096 251864 318144 377796 503728 636288 755592 1007456 1511184 2014912 3022368 4029824 6044736 12089472