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19979406 = 233596271
BaseRepresentation
bin100110000110…
…1110010001110
31101121001121000
41030031302032
520103320111
61552121130
7331551666
oct114156216
941531530
1019979406
1110306907
1268361a6
1341a6c45
1429211a6
151b49c56
hex130dc8e

19979406 has 32 divisors (see below), whose sum is σ = 45158400. Its totient is φ = 6545880.

The previous prime is 19979363. The next prime is 19979411. The reversal of 19979406 is 60497991.

It is a super-2 number, since 2×199794062 = 798353328225672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51 + ... + 6321.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 219979406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19979406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579200).

19979406 is an abundant number, since it is smaller than the sum of its proper divisors (25178994).

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

19979406 is a wasteful number, since it uses less digits than its factorization.

19979406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 19979406 is about 4469.8328827821. The cubic root of 19979406 is about 271.3485618022.

The spelling of 19979406 in words is "nineteen million, nine hundred seventy-nine thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 3186 6271 12542 18813 37626 56439 112878 169317 338634 369989 739978 1109967 2219934 3329901 6659802 9989703 19979406