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21436272 = 24331113347
BaseRepresentation
bin101000111000…
…1011101110000
31111100002001000
41101301131300
520441430042
62043242000
7350130264
oct121613560
944302030
1021436272
1111111430
127219300
1345970b0
142bc00a4
151d3674c
hex1471770

21436272 has 160 divisors (see below), whose sum is σ = 72495360. Its totient is φ = 5978880.

The previous prime is 21436271. The next prime is 21436301. The reversal of 21436272 is 27263412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21436271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61603 + ... + 61949.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 221436272 is an apocalyptic number.

21436272 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 21436272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247680).

21436272 is an abundant number, since it is smaller than the sum of its proper divisors (51059088).

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

21436272 is a wasteful number, since it uses less digits than its factorization.

21436272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 21436272 is about 4629.9321809288. The cubic root of 21436272 is about 277.7898796979.

Adding to 21436272 its reverse (27263412), we get a palindrome (48699684).

The spelling of 21436272 in words is "twenty-one million, four hundred thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 347 351 396 429 432 468 528 572 594 624 694 702 792 858 936 1041 1144 1188 1287 1388 1404 1584 1716 1872 2082 2288 2376 2574 2776 2808 3123 3432 3817 3861 4164 4511 4752 5148 5552 5616 6246 6864 7634 7722 8328 9022 9369 10296 11451 12492 13533 15268 15444 16656 18044 18738 20592 22902 24984 27066 30536 30888 34353 36088 37476 40599 45804 49621 49968 54132 61072 61776 68706 72176 74952 81198 91608 99242 103059 108264 121797 137412 148863 149904 162396 183216 198484 206118 216528 243594 274824 297726 324792 396968 412236 446589 487188 549648 595452 649584 793936 824472 893178 974376 1190904 1339767 1648944 1786356 1948752 2381808 2679534 3572712 5359068 7145424 10718136 21436272