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20092416 = 293103127
BaseRepresentation
bin100110010100…
…1011000000000
31101210210121120
41030221120000
520120424131
61554352240
7332532321
oct114513000
941723546
1020092416
1110383803
12688b680
134216506
142950448
151b6d496
hex1329600

20092416 has 80 divisors (see below), whose sum is σ = 54472704. Its totient is φ = 6580224.

The previous prime is 20092399. The next prime is 20092427. The reversal of 20092416 is 61429002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158145 + ... + 158271.

Almost surely, 220092416 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 20092416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27236352).

20092416 is an abundant number, since it is smaller than the sum of its proper divisors (34380288).

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

20092416 is a wasteful number, since it uses less digits than its factorization.

20092416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20092416 is about 4482.4564693926. The cubic root of 20092416 is about 271.8592120307.

The spelling of 20092416 in words is "twenty million, ninety-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 127 128 192 206 254 256 309 381 384 412 508 512 618 762 768 824 1016 1236 1524 1536 1648 2032 2472 3048 3296 4064 4944 6096 6592 8128 9888 12192 13081 13184 16256 19776 24384 26162 26368 32512 39243 39552 48768 52324 52736 65024 78486 79104 97536 104648 156972 158208 195072 209296 313944 418592 627888 837184 1255776 1674368 2511552 3348736 5023104 6697472 10046208 20092416