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19974006 = 2331337769
BaseRepresentation
bin100110000110…
…0011101110110
31101120210012000
41030030131312
520103132011
61552040130
7331530153
oct114143566
941523160
1019974006
1110302848
126833046
1341a4650
14291d22a
151b48356
hex130c776

19974006 has 64 divisors (see below), whose sum is σ = 49156800. Its totient is φ = 5971968.

The previous prime is 19974001. The next prime is 19974049. The reversal of 19974006 is 60047991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19974001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25590 + ... + 26358.

It is an arithmetic number, because the mean of its divisors is an integer number (768075).

Almost surely, 219974006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19974006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24578400).

19974006 is an abundant number, since it is smaller than the sum of its proper divisors (29182794).

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

19974006 is a wasteful number, since it uses less digits than its factorization.

19974006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 19974006 is about 4469.2287925323. The cubic root of 19974006 is about 271.3241130563.

The spelling of 19974006 in words is "nineteen million, nine hundred seventy-four thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 111 117 222 234 333 351 481 666 702 769 962 999 1443 1538 1998 2307 2886 4329 4614 6921 8658 9997 12987 13842 19994 20763 25974 28453 29991 41526 56906 59982 85359 89973 170718 179946 256077 269919 369889 512154 539838 739778 768231 1109667 1536462 2219334 3329001 6658002 9987003 19974006