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2016213540 = 2235114174509
BaseRepresentation
bin111100000101100…
…1111101000100100
312012111212021000120
41320023033220210
513112122313130
6532022241540
7100651350405
oct17013175044
95174767016
102016213540
11945111090
124832862b0
13261933183
14151ab99ac
15bc016910
hex782cfa24

2016213540 has 96 divisors (see below), whose sum is σ = 6308910720. Its totient is φ = 476851200.

The previous prime is 2016213539. The next prime is 2016213547. The reversal of 2016213540 is 453126102.

It is a self number, because there is not a number n which added to its sum of digits gives 2016213540.

It is not an unprimeable number, because it can be changed into a prime (2016213547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10195 + ... + 64314.

It is an arithmetic number, because the mean of its divisors is an integer number (65717820).

Almost surely, 22016213540 is an apocalyptic number.

2016213540 is a gapful number since it is divisible by the number (20) 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 2016213540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154455360).

2016213540 is an abundant number, since it is smaller than the sum of its proper divisors (4292697180).

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

2016213540 is a wasteful number, since it uses less digits than its factorization.

2016213540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74573 (or 74571 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2016213540 is about 44902.2665352207. The cubic root of 2016213540 is about 1263.3165209800.

Adding to 2016213540 its reverse (453126102), we get a palindrome (2469339642).

The spelling of 2016213540 in words is "two billion, sixteen million, two hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1804 2255 2460 2706 4510 5412 6765 9020 13530 27060 74509 149018 223527 298036 372545 447054 745090 819599 894108 1117635 1490180 1639198 2235270 2458797 3054869 3278396 4097995 4470540 4917594 6109738 8195990 9164607 9835188 12219476 12293985 15274345 16391980 18329214 24587970 30548690 33603559 36658428 45823035 49175940 61097380 67207118 91646070 100810677 134414236 168017795 183292140 201621354 336035590 403242708 504053385 672071180 1008106770 2016213540