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20978216 = 2371033637
BaseRepresentation
bin101000000000…
…1101000101000
31110110210200222
41100001220220
520332300331
62025345212
7343211660
oct120015050
943423628
1020978216
1110929276
127038208
13446675c
142b011a0
151c95b7b
hex1401a28

20978216 has 32 divisors (see below), whose sum is σ = 45402240. Its totient is φ = 8900928.

The previous prime is 20978207. The next prime is 20978219. The reversal of 20978216 is 61287902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20978219) 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, 3950 + ... + 7586.

It is an arithmetic number, because the mean of its divisors is an integer number (1418820).

Almost surely, 220978216 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 20978216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22701120).

20978216 is an abundant number, since it is smaller than the sum of its proper divisors (24424024).

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

20978216 is a wasteful number, since it uses less digits than its factorization.

20978216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 20978216 is about 4580.1982489844. The cubic root of 20978216 is about 275.7969871657.

The spelling of 20978216 in words is "twenty million, nine hundred seventy-eight thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 721 824 1442 2884 3637 5768 7274 14548 25459 29096 50918 101836 203672 374611 749222 1498444 2622277 2996888 5244554 10489108 20978216