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20253464 = 237311261
BaseRepresentation
bin100110101000…
…0101100011000
31102002222112022
41031100230120
520141102324
62002034012
7334103000
oct115205430
942088468
1020253464
1110483800
126948908
1342718ca
142993000
151ba105e
hex1350b18

20253464 has 96 divisors (see below), whose sum is σ = 49476000. Its totient is φ = 7761600.

The previous prime is 20253451. The next prime is 20253469. The reversal of 20253464 is 46435202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20253469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331994 + ... + 332054.

It is an arithmetic number, because the mean of its divisors is an integer number (515375).

Almost surely, 220253464 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 20253464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24738000).

20253464 is an abundant number, since it is smaller than the sum of its proper divisors (29222536).

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

20253464 is a wasteful number, since it uses less digits than its factorization.

20253464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 20253464 is about 4500.3848724304. The cubic root of 20253464 is about 272.5836300282.

Adding to 20253464 its reverse (46435202), we get a palindrome (66688666).

The spelling of 20253464 in words is "twenty million, two hundred fifty-three thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 61 77 88 98 121 122 154 196 242 244 308 343 392 427 484 488 539 616 671 686 847 854 968 1078 1342 1372 1694 1708 2156 2684 2744 2989 3388 3416 3773 4312 4697 5368 5929 5978 6776 7381 7546 9394 11858 11956 14762 15092 18788 20923 23716 23912 29524 30184 32879 37576 41503 41846 47432 51667 59048 65758 83006 83692 103334 131516 166012 167384 206668 230153 263032 332024 361669 413336 460306 723338 920612 1446676 1841224 2531683 2893352 5063366 10126732 20253464