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21413616 = 2437101631
BaseRepresentation
bin101000110101…
…1111011110000
31111021220221220
41101223323300
520440213431
62042545040
7350004240
oct121537360
944256856
1021413616
11110a6404
127208180
1345899a3
142bb5b20
151d2eb96
hex146bef0

21413616 has 80 divisors (see below), whose sum is σ = 63948288. Its totient is φ = 6048000.

The previous prime is 21413611. The next prime is 21413617. The reversal of 21413616 is 61631412.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21413611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33621 + ... + 34251.

Almost surely, 221413616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21413616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31974144).

21413616 is an abundant number, since it is smaller than the sum of its proper divisors (42534672).

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

21413616 is a wasteful number, since it uses less digits than its factorization.

21413616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 21413616 is about 4627.4848460044. The cubic root of 21413616 is about 277.6919798073.

The spelling of 21413616 in words is "twenty-one million, four hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 631 707 808 1212 1262 1414 1616 1893 2121 2424 2524 2828 3786 4242 4417 4848 5048 5656 7572 8484 8834 10096 11312 13251 15144 16968 17668 26502 30288 33936 35336 53004 63731 70672 106008 127462 191193 212016 254924 382386 446117 509848 764772 892234 1019696 1338351 1529544 1784468 2676702 3059088 3568936 5353404 7137872 10706808 21413616