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1968870510 = 23357292113
BaseRepresentation
bin111010101011010…
…1001010001101110
312002012202222121000
41311112221101232
513013012324020
6523211421130
766535060155
oct16526512156
95065688530
101968870510
11920415612
1246b4547a6
13254b98249
141496b459c
15b7cb4090
hex755a946e

1968870510 has 32 divisors (see below), whose sum is σ = 5250322080. Its totient is φ = 525032064.

The previous prime is 1968870493. The next prime is 1968870551. The reversal of 1968870510 is 150788691.

1968870510 is a `hidden beast` number, since 1 + 9 + 68 + 8 + 70 + 510 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3645787 + ... + 3646326.

It is an arithmetic number, because the mean of its divisors is an integer number (164072565).

Almost surely, 21968870510 is an apocalyptic number.

1968870510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1968870510 is an abundant number, since it is smaller than the sum of its proper divisors (3281451570).

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

1968870510 is a wasteful number, since it uses less digits than its factorization.

1968870510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7292129 (or 7292123 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 1968870510 is about 44371.9563463231. The cubic root of 1968870510 is about 1253.3500558134.

The spelling of 1968870510 in words is "one billion, nine hundred sixty-eight million, eight hundred seventy thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 7292113 14584226 21876339 36460565 43752678 65629017 72921130 109381695 131258034 196887051 218763390 328145085 393774102 656290170 984435255 1968870510