Search a number
-
+
21372417 = 341117283
BaseRepresentation
bin101000110000…
…1111000000001
31111012211110000
41101201320001
520432404132
62042030213
7346443153
oct121417001
944184400
1021372417
1111078460
1271a8369
134574001
142ba4ad3
151d2287c
hex1461e01

21372417 has 60 divisors (see below), whose sum is σ = 37444176. Its totient is φ = 12044160.

The previous prime is 21372413. The next prime is 21372427. The reversal of 21372417 is 71427312.

It is a happy number.

It is not a de Polignac number, because 21372417 - 22 = 21372413 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (21372413) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 257458 + ... + 257540.

Almost surely, 221372417 is an apocalyptic number.

21372417 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

21372417 is a deficient number, since it is larger than the sum of its proper divisors (16071759).

21372417 is a wasteful number, since it uses less digits than its factorization.

21372417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 21372417 is about 4623.0311484999. The cubic root of 21372417 is about 277.5137757953.

Adding to 21372417 its reverse (71427312), we get a palindrome (92799729).

It can be divided in two parts, 2137 and 2417, that added together give a palindrome (4554).

The spelling of 21372417 in words is "twenty-one million, three hundred seventy-two thousand, four hundred seventeen".

Divisors: 1 3 9 11 17 27 33 51 81 83 99 153 187 249 289 297 459 561 747 867 891 913 1377 1411 1683 2241 2601 2739 3179 4233 5049 6723 7803 8217 9537 12699 15147 15521 23409 23987 24651 28611 38097 46563 71961 73953 85833 114291 139689 215883 257499 263857 419067 647649 791571 1257201 1942947 2374713 7124139 21372417