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20452416 = 263372879
BaseRepresentation
bin100111000000…
…1010001000000
31102111002102220
41032001101000
520213434131
62010211040
7335562015
oct116012100
942432386
1020452416
11105aa226
126a23a80
13431132a
142a0570c
151bdee96
hex1381440

20452416 has 56 divisors (see below), whose sum is σ = 55595520. Its totient is φ = 6630912.

The previous prime is 20452363. The next prime is 20452427. The reversal of 20452416 is 61425402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5665 + ... + 8543.

Almost surely, 220452416 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 20452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27797760).

20452416 is an abundant number, since it is smaller than the sum of its proper divisors (35143104).

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

20452416 is a wasteful number, since it uses less digits than its factorization.

20452416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 20452416 is about 4522.4347424811. The cubic root of 20452416 is about 273.4732630078.

Adding to 20452416 its reverse (61425402), we get a palindrome (81877818).

The spelling of 20452416 in words is "twenty million, four hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 2879 3552 5758 7104 8637 11516 17274 23032 34548 46064 69096 92128 106523 138192 184256 213046 276384 319569 426092 552768 639138 852184 1278276 1704368 2556552 3408736 5113104 6817472 10226208 20452416