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21306672 = 2433313743
BaseRepresentation
bin101000101000…
…1110100110000
31111002111021000
41101101310300
520423303142
62040402000
7346050402
oct121216460
944074230
1021306672
1111033022
127176300
1345500ca
142b88b72
151d0d14c
hex1451d30

21306672 has 160 divisors (see below), whose sum is σ = 66344960. Its totient is φ = 6531840.

The previous prime is 21306617. The next prime is 21306707. The reversal of 21306672 is 27660312.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495483 + ... + 495525.

It is an arithmetic number, because the mean of its divisors is an integer number (414656).

Almost surely, 221306672 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 21306672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33172480).

21306672 is an abundant number, since it is smaller than the sum of its proper divisors (45038288).

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

21306672 is a wasteful number, since it uses less digits than its factorization.

21306672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 21306672 is about 4615.9150772084. The cubic root of 21306672 is about 277.2289244756.

Adding to 21306672 its reverse (27660312), we get a palindrome (48966984).

The spelling of 21306672 in words is "twenty-one million, three hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 37 43 48 54 62 72 74 86 93 108 111 124 129 144 148 172 186 216 222 248 258 279 296 333 344 372 387 432 444 496 516 558 592 666 688 744 774 837 888 999 1032 1116 1147 1161 1332 1333 1488 1548 1591 1674 1776 1998 2064 2232 2294 2322 2664 2666 3096 3182 3348 3441 3996 3999 4464 4588 4644 4773 5328 5332 6192 6364 6696 6882 7992 7998 9176 9288 9546 10323 10664 11997 12728 13392 13764 14319 15984 15996 18352 18576 19092 20646 21328 23994 25456 27528 28638 30969 31992 35991 38184 41292 42957 47988 49321 55056 57276 61938 63984 71982 76368 82584 85914 95976 98642 114552 123876 143964 147963 165168 171828 191952 197284 229104 247752 287928 295926 343656 394568 443889 495504 575856 591852 687312 789136 887778 1183704 1331667 1775556 2367408 2663334 3551112 5326668 7102224 10653336 21306672