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20978944 = 28723509
BaseRepresentation
bin101000000000…
…1110100000000
31110110211200221
41100001310000
520332311234
62025352424
7343214050
oct120016400
943424627
1020978944
1110929878
127038714
134466b9c
142b01560
151c95eb4
hex1401d00

20978944 has 72 divisors (see below), whose sum is σ = 50037120. Its totient is φ = 8583168.

The previous prime is 20978941. The next prime is 20978981. The reversal of 20978944 is 44987902.

It is a self number, because there is not a number n which added to its sum of digits gives 20978944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20978941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40962 + ... + 41470.

It is an arithmetic number, because the mean of its divisors is an integer number (694960).

Almost surely, 220978944 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 20978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25018560).

20978944 is an abundant number, since it is smaller than the sum of its proper divisors (29058176).

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

20978944 is an equidigital number, since it uses as much as digits as its factorization.

20978944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 20978944 is about 4580.2777208375. The cubic root of 20978944 is about 275.8001774256.

The spelling of 20978944 in words is "twenty million, nine hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 509 644 736 896 1018 1288 1472 1792 2036 2576 2944 3563 4072 5152 5888 7126 8144 10304 11707 14252 16288 20608 23414 28504 32576 41216 46828 57008 65152 81949 93656 114016 130304 163898 187312 228032 327796 374624 456064 655592 749248 912128 1311184 1498496 2622368 2996992 5244736 10489472 20978944