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20940816 = 2431337907
BaseRepresentation
bin100111111100…
…0100000010000
31110101220101210
41033320200100
520330101231
62024500120
7342664641
oct117704020
943356353
1020940816
1110903166
12701a640
134452720
142ad16c8
151c89a46
hex13f8810

20940816 has 80 divisors (see below), whose sum is σ = 59898944. Its totient is φ = 6262272.

The previous prime is 20940809. The next prime is 20940823. The reversal of 20940816 is 61804902.

It is an interprime number because it is at equal distance from previous prime (20940809) and next prime (20940823).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22635 + ... + 23541.

Almost surely, 220940816 is an apocalyptic number.

20940816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20940816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29949472).

20940816 is an abundant number, since it is smaller than the sum of its proper divisors (38958128).

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

20940816 is a wasteful number, since it uses less digits than its factorization.

20940816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 20940816 is about 4576.1136349527. The cubic root of 20940816 is about 275.6329925542.

The spelling of 20940816 in words is "twenty million, nine hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 907 962 1443 1776 1814 1924 2721 2886 3628 3848 5442 5772 7256 7696 10884 11544 11791 14512 21768 23088 23582 33559 35373 43536 47164 67118 70746 94328 100677 134236 141492 188656 201354 268472 282984 402708 436267 536944 565968 805416 872534 1308801 1610832 1745068 2617602 3490136 5235204 6980272 10470408 20940816