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20710416 = 2435971103
BaseRepresentation
bin100111100000…
…0010000010000
31102222012100110
41033000100100
520300213131
62015521320
7341015136
oct117002020
942865313
1020710416
1110766051
126b29240
1343a18ac
142a71756
151c41646
hex13c0410

20710416 has 80 divisors (see below), whose sum is σ = 55710720. Its totient is φ = 6625920.

The previous prime is 20710397. The next prime is 20710421. The reversal of 20710416 is 61401702.

It is a junction number, because it is equal to n+sod(n) for n = 20710392 and 20710401.

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 15 ways as a sum of consecutive naturals, for example, 201021 + ... + 201123.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 220710416 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 20710416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855360).

20710416 is an abundant number, since it is smaller than the sum of its proper divisors (35000304).

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

20710416 is a wasteful number, since it uses less digits than its factorization.

20710416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 20710416 is about 4550.8698069710. The cubic root of 20710416 is about 274.6183841776.

The spelling of 20710416 in words is "twenty million, seven hundred ten thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 71 103 118 142 177 206 213 236 284 309 354 412 426 472 568 618 708 824 852 944 1136 1236 1416 1648 1704 2472 2832 3408 4189 4944 6077 7313 8378 12154 12567 14626 16756 18231 21939 24308 25134 29252 33512 36462 43878 48616 50268 58504 67024 72924 87756 97232 100536 117008 145848 175512 201072 291696 351024 431467 862934 1294401 1725868 2588802 3451736 5177604 6903472 10355208 20710416