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20075016 = 2331337247
BaseRepresentation
bin100110010010…
…1001000001000
31101202220202010
41030211020020
520114400031
61554135520
7332430513
oct114451010
941686663
1020075016
1110371725
1268815a0
13420b610
142947d7a
151b68246
hex1325208

20075016 has 96 divisors (see below), whose sum is σ = 56730240. Its totient is φ = 5882112.

The previous prime is 20074993. The next prime is 20075051. The reversal of 20075016 is 61057002.

It is a junction number, because it is equal to n+sod(n) for n = 20074983 and 20075001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427105 + ... + 427151.

It is an arithmetic number, because the mean of its divisors is an integer number (590940).

Almost surely, 220075016 is an apocalyptic number.

20075016 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 20075016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28365120).

20075016 is an abundant number, since it is smaller than the sum of its proper divisors (36655224).

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

20075016 is a wasteful number, since it uses less digits than its factorization.

20075016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 20075016 is about 4480.5151489533. The cubic root of 20075016 is about 271.7807128193.

The spelling of 20075016 in words is "twenty million, seventy-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 47 52 74 78 94 104 111 141 148 156 188 222 282 296 312 376 444 481 564 611 888 962 1128 1222 1369 1443 1739 1833 1924 2444 2738 2886 3478 3666 3848 4107 4888 5217 5476 5772 6956 7332 8214 10434 10952 11544 13912 14664 16428 17797 20868 22607 32856 35594 41736 45214 53391 64343 67821 71188 90428 106782 128686 135642 142376 180856 193029 213564 257372 271284 386058 427128 514744 542568 772116 836459 1544232 1672918 2509377 3345836 5018754 6691672 10037508 20075016