Search a number
-
+
21386952 = 233217101173
BaseRepresentation
bin101000110010…
…1011011001000
31111020120101100
41101211123020
520433340302
62042221400
7346533426
oct121453310
944216340
1021386952
1111088374
1271b4860
13457a802
142baa116
151d26d1c
hex14656c8

21386952 has 96 divisors (see below), whose sum is σ = 62295480. Its totient is φ = 6604800.

The previous prime is 21386947. The next prime is 21386971. The reversal of 21386952 is 25968312.

It can be written as a sum of positive squares in 4 ways, for example, as 19660356 + 1726596 = 4434^2 + 1314^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123538 + ... + 123710.

Almost surely, 221386952 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 21386952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31147740).

21386952 is an abundant number, since it is smaller than the sum of its proper divisors (40908528).

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

21386952 is a wasteful number, since it uses less digits than its factorization.

21386952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 296 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 21386952 is about 4624.6029018717. The cubic root of 21386952 is about 277.5766722640.

The spelling of 21386952 in words is "twenty-one million, three hundred eighty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 101 102 136 153 173 202 204 303 306 346 404 408 519 606 612 692 808 909 1038 1212 1224 1384 1557 1717 1818 2076 2424 2941 3114 3434 3636 4152 5151 5882 6228 6868 7272 8823 10302 11764 12456 13736 15453 17473 17646 20604 23528 26469 30906 34946 35292 41208 52419 52938 61812 69892 70584 104838 105876 123624 139784 157257 209676 211752 297041 314514 419352 594082 629028 891123 1188164 1258056 1782246 2376328 2673369 3564492 5346738 7128984 10693476 21386952