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20978112 = 263372953
BaseRepresentation
bin101000000000…
…1100111000000
31110110210120010
41100001213000
520332244422
62025344520
7343211451
oct120014700
943423503
1020978112
1110929191
127038140
1344666ac
142b01128
151c95b0c
hex14019c0

20978112 has 56 divisors (see below), whose sum is σ = 57024016. Its totient is φ = 6801408.

The previous prime is 20978077. The next prime is 20978117. The reversal of 20978112 is 21187902.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 20978112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20978117) by changing a digit.

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, 5628 + ... + 8580.

It is an arithmetic number, because the mean of its divisors is an integer number (1018286).

Almost surely, 220978112 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 20978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28512008).

20978112 is an abundant number, since it is smaller than the sum of its proper divisors (36045904).

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

20978112 is a wasteful number, since it uses less digits than its factorization.

20978112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 20978112 is about 4580.1868957500. The cubic root of 20978112 is about 275.7965314082.

The spelling of 20978112 in words is "twenty million, nine hundred seventy-eight thousand, one hundred twelve".

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 2953 3552 5906 7104 8859 11812 17718 23624 35436 47248 70872 94496 109261 141744 188992 218522 283488 327783 437044 566976 655566 874088 1311132 1748176 2622264 3496352 5244528 6992704 10489056 20978112