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2687893520 = 2451319136027
BaseRepresentation
bin1010000000110110…
…0000000000010000
320221022202010201212
42200031200000100
521001100043040
61122414515252
7123415501154
oct24015400020
96838663655
102687893520
11115a278204
12630205b28
1333ab38150
141b6da1064
1510ae92d65
hexa0360010

2687893520 has 80 divisors (see below), whose sum is σ = 7084338240. Its totient is φ = 940211712.

The previous prime is 2687893519. The next prime is 2687893541. The reversal of 2687893520 is 253987862.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48254 + ... + 87773.

It is an arithmetic number, because the mean of its divisors is an integer number (88554228).

Almost surely, 22687893520 is an apocalyptic number.

2687893520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2687893520 is an abundant number, since it is smaller than the sum of its proper divisors (4396444720).

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

2687893520 is a wasteful number, since it uses less digits than its factorization.

2687893520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136072 (or 136066 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 2687893520 is about 51844.8986882991. The cubic root of 2687893520 is about 1390.3922982222.

The spelling of 2687893520 in words is "two billion, six hundred eighty-seven million, eight hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 19760 136027 272054 544108 680135 1088216 1360270 1768351 2176432 2584513 2720540 3536702 5169026 5441080 7073404 8841755 10338052 10882160 12922565 14146808 17683510 20676104 25845130 28293616 33598669 35367020 41352208 51690260 67197338 70734040 103380520 134394676 141468080 167993345 206761040 268789352 335986690 537578704 671973380 1343946760 2687893520