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2516502540 = 2235536112973
BaseRepresentation
bin1001010111111110…
…1100100000001100
320111101020120111210
42111333230200030
520123211040130
61053413214420
7116234630046
oct22577544014
96441216453
102516502540
111081555672
125a2931410
13311489976
1419c308a96
15eadda5b0
hex95fec80c

2516502540 has 96 divisors (see below), whose sum is σ = 7297407936. Its totient is φ = 647562240.

The previous prime is 2516502539. The next prime is 2516502559. The reversal of 2516502540 is 452056152.

2516502540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2516502498 and 2516502507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187494 + ... + 200466.

It is an arithmetic number, because the mean of its divisors is an integer number (76014666).

Almost surely, 22516502540 is an apocalyptic number.

2516502540 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 2516502540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648703968).

2516502540 is an abundant number, since it is smaller than the sum of its proper divisors (4780905396).

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

2516502540 is a wasteful number, since it uses less digits than its factorization.

2516502540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13099 (or 13097 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 2516502540 is about 50164.7539613223. The cubic root of 2516502540 is about 1360.1885803954.

Adding to 2516502540 its reverse (452056152), we get a palindrome (2968558692).

The spelling of 2516502540 in words is "two billion, five hundred sixteen million, five hundred two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 61 106 122 159 183 212 244 265 305 318 366 530 610 636 732 795 915 1060 1220 1590 1830 3180 3233 3660 6466 9699 12932 12973 16165 19398 25946 32330 38796 38919 48495 51892 64660 64865 77838 96990 129730 155676 193980 194595 259460 389190 687569 778380 791353 1375138 1582706 2062707 2374059 2750276 3165412 3437845 3956765 4125414 4748118 6875690 7913530 8250828 9496236 10313535 11870295 13751380 15827060 20627070 23740590 41254140 41941709 47481180 83883418 125825127 167766836 209708545 251650254 419417090 503300508 629125635 838834180 1258251270 2516502540