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2868103040 = 27511407401
BaseRepresentation
bin1010101011110011…
…1100011110000000
321101212211201201112
42222330330132000
521333213244130
61152333222452
7131034321305
oct25274743600
97355751645
102868103040
111241a732a0
12680631a28
133692834ba
141d2cb10ac
1511bbdd495
hexaaf3c780

2868103040 has 64 divisors (see below), whose sum is σ = 7479900720. Its totient is φ = 1042944000.

The previous prime is 2868103039. The next prime is 2868103057. The reversal of 2868103040 is 403018682.

2868103040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2868102988 and 2868103006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196661 + ... + 210740.

Almost surely, 22868103040 is an apocalyptic number.

2868103040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2868103040 is an abundant number, since it is smaller than the sum of its proper divisors (4611797680).

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

2868103040 is a wasteful number, since it uses less digits than its factorization.

2868103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407431 (or 407419 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2868103040 is about 53554.6733721717. The cubic root of 2868103040 is about 1420.7955338644.

The spelling of 2868103040 in words is "two billion, eight hundred sixty-eight million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 407401 814802 1629604 2037005 3259208 4074010 4481411 6518416 8148020 8962822 13036832 16296040 17925644 22407055 26073664 32592080 35851288 44814110 52147328 65184160 71702576 89628220 130368320 143405152 179256440 260736640 286810304 358512880 573620608 717025760 1434051520 2868103040