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19960974 = 23211731381
BaseRepresentation
bin100110000100…
…1010010001110
31101120010022100
41030021102032
520102222344
61551455530
7331444155
oct114112216
941503270
1019960974
11102a3a80
1268275a6
13419b737
14291859c
151b44569
hex130948e

19960974 has 48 divisors (see below), whose sum is σ = 47861424. Its totient is φ = 5961600.

The previous prime is 19960943. The next prime is 19961003. The reversal of 19960974 is 47906991.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13764 + ... + 15144.

It is an arithmetic number, because the mean of its divisors is an integer number (997113).

Almost surely, 219960974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19960974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23930712).

19960974 is an abundant number, since it is smaller than the sum of its proper divisors (27900450).

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

19960974 is a wasteful number, since it uses less digits than its factorization.

19960974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1470 counting only the distinct ones).

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

The square root of 19960974 is about 4467.7705849786. The cubic root of 19960974 is about 271.2650919279.

The spelling of 19960974 in words is "nineteen million, nine hundred sixty thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1381 1606 2409 2762 4143 4818 7227 8286 12429 14454 15191 24858 30382 45573 91146 100813 136719 201626 273438 302439 604878 907317 1108943 1814634 2217886 3326829 6653658 9980487 19960974