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20009916 = 2234151409
BaseRepresentation
bin100110001010…
…1001110111100
31101122121110000
41030111032330
520110304131
61552514300
7332036643
oct114251674
941577400
1020009916
1110327823
12684b990
1341b7ab4
14292c35a
151b53ce6
hex13153bc

20009916 has 60 divisors (see below), whose sum is σ = 52785040. Its totient is φ = 6609600.

The previous prime is 20009887. The next prime is 20009917. The reversal of 20009916 is 61990002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20009916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20009917) 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 19 ways as a sum of consecutive naturals, for example, 48720 + ... + 49128.

Almost surely, 220009916 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 20009916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26392520).

20009916 is an abundant number, since it is smaller than the sum of its proper divisors (32775124).

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

20009916 is a wasteful number, since it uses less digits than its factorization.

20009916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 20009916 is about 4473.2444601206. The cubic root of 20009916 is about 271.4866145228.

Adding to 20009916 its reverse (61990002), we get a palindrome (81999918).

The spelling of 20009916 in words is "twenty million, nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 302 324 409 453 604 818 906 1227 1359 1636 1812 2454 2718 3681 4077 4908 5436 7362 8154 11043 12231 14724 16308 22086 24462 33129 44172 48924 61759 66258 123518 132516 185277 247036 370554 555831 741108 1111662 1667493 2223324 3334986 5002479 6669972 10004958 20009916