Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
12275712 = 2123437
BaseRepresentation
bin101110110101…
…000000000000
3212002200010000
4232311000000
511120310322
61115040000
7206225151
oct56650000
925080100
1012275712
116a24a19
124140000
13270a647
1418b7928
1511273ac
hexbb5000

12275712 has 130 divisors (see below), whose sum is σ = 37662218. Its totient is φ = 3981312.

The previous prime is 12275707. The next prime is 12275719. The reversal of 12275712 is 21757221.

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 331776 = 3456^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12275719) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331758 + ... + 331794.

Almost surely, 212275712 is an apocalyptic number.

12275712 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 12275712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831109).

12275712 is an abundant number, since it is smaller than the sum of its proper divisors (25386506).

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

12275712 is an frugal number, since it uses more digits than its factorization.

12275712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 12275712 is about 3503.6712174518. The cubic root of 12275712 is about 230.6829856179.

The spelling of 12275712 in words is "twelve million, two hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 256 288 296 324 333 384 432 444 512 576 592 648 666 768 864 888 999 1024 1152 1184 1296 1332 1536 1728 1776 1998 2048 2304 2368 2592 2664 2997 3072 3456 3552 3996 4096 4608 4736 5184 5328 5994 6144 6912 7104 7992 9216 9472 10368 10656 11988 12288 13824 14208 15984 18432 18944 20736 21312 23976 27648 28416 31968 36864 37888 41472 42624 47952 55296 56832 63936 75776 82944 85248 95904 110592 113664 127872 151552 165888 170496 191808 227328 255744 331776 340992 383616 454656 511488 681984 767232 1022976 1363968 1534464 2045952 3068928 4091904 6137856 12275712