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21388312 = 2311172292
BaseRepresentation
bin101000110010…
…1110000011000
31111020122020201
41101211300120
520433411222
62042231544
7346540411
oct121456030
944218221
1021388312
11110893a0
1271b55b4
13457b30a
142baa808
151d27427
hex1465c18

21388312 has 72 divisors (see below), whose sum is σ = 48131460. Its totient is φ = 8834560.

The previous prime is 21388277. The next prime is 21388313.

21388312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21388313) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 737514 + ... + 737542.

Almost surely, 221388312 is an apocalyptic number.

21388312 is a gapful number since it is divisible by the number (22) 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 21388312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24065730).

21388312 is an abundant number, since it is smaller than the sum of its proper divisors (26743148).

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

21388312 is a wasteful number, since it uses less digits than its factorization.

21388312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 59 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 21388312 is about 4624.7499391859. The cubic root of 21388312 is about 277.5825558556.

The spelling of 21388312 in words is "twenty-one million, three hundred eighty-eight thousand, three hundred twelve".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 187 232 289 319 374 493 578 638 748 841 986 1156 1276 1496 1682 1972 2312 2552 3179 3364 3944 5423 6358 6728 8381 9251 10846 12716 14297 16762 18502 21692 25432 28594 33524 37004 43384 57188 67048 74008 92191 114376 157267 184382 243049 314534 368764 486098 629068 737528 972196 1258136 1944392 2673539 5347078 10694156 21388312