Search a number
-
+
20372292 = 2232619277
BaseRepresentation
bin100110110110…
…1101101000100
31102100000112100
41031231231010
520203403132
62004352100
7335106303
oct115555504
942300470
1020372292
1110555006
1269a5630
1342b3a15
1429c443a
151bc637c
hex136db44

20372292 has 36 divisors (see below), whose sum is σ = 52346476. Its totient is φ = 6678720.

The previous prime is 20372279. The next prime is 20372293. The reversal of 20372292 is 29227302.

20372292 is a `hidden beast` number, since 2 + 0 + 372 + 292 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7584516 + 12787776 = 2754^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (20372293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2443 + ... + 6834.

Almost surely, 220372292 is an apocalyptic number.

It is an amenable number.

20372292 is an abundant number, since it is smaller than the sum of its proper divisors (31974184).

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

20372292 is a wasteful number, since it uses less digits than its factorization.

20372292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348 (or 9343 counting only the distinct ones).

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

The square root of 20372292 is about 4513.5675468525. The cubic root of 20372292 is about 273.1156777413.

Adding to 20372292 its reverse (29227302), we get a palindrome (49599594).

The spelling of 20372292 in words is "twenty million, three hundred seventy-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 9277 18554 27831 37108 55662 83493 111324 166986 333972 565897 1131794 1697691 2263588 3395382 5093073 6790764 10186146 20372292