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12213760 = 29513367
BaseRepresentation
bin101110100101…
…111000000000
3211222112010111
4232211320000
511111320020
61113441104
7205546426
oct56457000
924875114
1012213760
116992419
124110194
1326b83a0
14189d116
151113d5a
hexba5e00

12213760 has 80 divisors (see below), whose sum is σ = 31622976. Its totient is φ = 4497408.

The previous prime is 12213739. The next prime is 12213779. The reversal of 12213760 is 6731221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33097 + ... + 33463.

Almost surely, 212213760 is an apocalyptic number.

12213760 is a gapful number since it is divisible by the number (10) 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 12213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15811488).

12213760 is an abundant number, since it is smaller than the sum of its proper divisors (19409216).

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

12213760 is an equidigital number, since it uses as much as digits as its factorization.

12213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 12213760 is about 3494.8190224960. The cubic root of 12213760 is about 230.2942673294.

Adding to 12213760 its reverse (6731221), we get a palindrome (18944981).

The spelling of 12213760 in words is "twelve million, two hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 367 416 512 520 640 734 832 1040 1280 1468 1664 1835 2080 2560 2936 3328 3670 4160 4771 5872 6656 7340 8320 9542 11744 14680 16640 19084 23488 23855 29360 33280 38168 46976 47710 58720 76336 93952 95420 117440 152672 187904 190840 234880 305344 381680 469760 610688 763360 939520 1221376 1526720 2442752 3053440 6106880 12213760