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21399552 = 2113543
BaseRepresentation
bin101000110100…
…0100000000000
31111021012200000
41101220200000
520434241202
62042400000
7346615236
oct121504000
944235600
1021399552
1111096889
127200000
134583475
142bb0956
151d2a91c
hex1468800

21399552 has 144 divisors (see below), whose sum is σ = 65585520. Its totient is φ = 6967296.

The previous prime is 21399551. The next prime is 21399559. The reversal of 21399552 is 25599312.

21399552 = 333 + 343 + ... + 963.

It is a happy number.

21399552 is a `hidden beast` number, since 2 + 13 + 99 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (21399551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497643 + ... + 497685.

It is an arithmetic number, because the mean of its divisors is an integer number (455455).

Almost surely, 221399552 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 21399552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32792760).

21399552 is an abundant number, since it is smaller than the sum of its proper divisors (44185968).

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

21399552 is an frugal number, since it uses more digits than its factorization.

21399552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 21399552 is about 4625.9649804122. The cubic root of 21399552 is about 277.6311724636.

The spelling of 21399552 in words is "twenty-one million, three hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 144 162 172 192 216 243 256 258 288 324 344 384 387 432 486 512 516 576 648 688 768 774 864 972 1024 1032 1152 1161 1296 1376 1536 1548 1728 1944 2048 2064 2304 2322 2592 2752 3072 3096 3456 3483 3888 4128 4608 4644 5184 5504 6144 6192 6912 6966 7776 8256 9216 9288 10368 10449 11008 12384 13824 13932 15552 16512 18432 18576 20736 20898 22016 24768 27648 27864 31104 33024 37152 41472 41796 44032 49536 55296 55728 62208 66048 74304 82944 83592 88064 99072 111456 124416 132096 148608 165888 167184 198144 222912 248832 264192 297216 334368 396288 445824 497664 594432 668736 792576 891648 1188864 1337472 1783296 2377728 2674944 3566592 5349888 7133184 10699776 21399552