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2987000037 = 337131223541
BaseRepresentation
bin1011001000001010…
…0000000011100101
321201011120022202000
42302002200003211
522104133000122
61212221435513
7134010036630
oct26202400345
97634508660
102987000037
1112a30a137a
126b440bb99
13387ab2358
142049c0c17
151273770ac
hexb20a00e5

2987000037 has 64 divisors (see below), whose sum is σ = 5128273920. Its totient is φ = 1683115200.

The previous prime is 2987000017. The next prime is 2987000053. The reversal of 2987000037 is 7300007892.

It is not a de Polignac number, because 2987000037 - 210 = 2986999013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2986999965 and 2987000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2987000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5520987 + ... + 5521527.

It is an arithmetic number, because the mean of its divisors is an integer number (80129280).

Almost surely, 22987000037 is an apocalyptic number.

2987000037 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2987000037 is a deficient number, since it is larger than the sum of its proper divisors (2141273883).

2987000037 is a wasteful number, since it uses less digits than its factorization.

2987000037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2987000037 is about 54653.4540262553. The cubic root of 2987000037 is about 1440.1633104713.

The spelling of 2987000037 in words is "two billion, nine hundred eighty-seven million, thirty-seven", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 63 131 189 223 393 541 669 917 1179 1561 1623 2007 2751 3537 3787 4683 4869 6021 8253 11361 14049 14607 24759 29213 34083 42147 70871 87639 102249 120643 204491 212613 262917 361929 496097 613473 637839 788751 844501 1085787 1488291 1840419 1913517 2533503 3257361 4464873 5521257 7600509 13394619 15804233 22801527 47412699 110629631 142238097 331888893 426714291 995666679 2987000037