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20014416 = 2432236043
BaseRepresentation
bin100110001011…
…0010101010000
31101122211121200
41030112111100
520110430131
61552551200
7332056032
oct114262520
941584550
1020014416
1110330144
126852500
1341b9b66
14292dc52
151b552e6
hex1316550

20014416 has 60 divisors (see below), whose sum is σ = 58457568. Its totient is φ = 6380352.

The previous prime is 20014381. The next prime is 20014427. The reversal of 20014416 is 61441002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291 + ... + 6333.

Almost surely, 220014416 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 20014416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29228784).

20014416 is an abundant number, since it is smaller than the sum of its proper divisors (38443152).

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

20014416 is a wasteful number, since it uses less digits than its factorization.

20014416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20014416 is about 4473.7474224636. The cubic root of 20014416 is about 271.5069644032.

Adding to 20014416 its reverse (61441002), we get a palindrome (81455418).

The spelling of 20014416 in words is "twenty million, fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 6043 12086 18129 24172 36258 48344 54387 72516 96688 108774 138989 145032 217548 277978 290064 416967 435096 555956 833934 870192 1111912 1250901 1667868 2223824 2501802 3335736 5003604 6671472 10007208 20014416