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1876968 = 2332131199
BaseRepresentation
bin111001010001111101000
310112100201100
413022033220
5440030333
6104121400
721645132
oct7121750
93470640
101876968
111072215
12766260
13509442
1436c052
15271213
hex1ca3e8

1876968 has 48 divisors (see below), whose sum is σ = 5148000. Its totient is φ = 617760.

The previous prime is 1876951. The next prime is 1876999. The reversal of 1876968 is 8696781.

It is a happy number.

It is a super-3 number, since 3×18769683 = 19837724755146333696, which contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9333 + ... + 9531.

It is an arithmetic number, because the mean of its divisors is an integer number (107250).

21876968 is an apocalyptic number.

1876968 is a gapful number since it is divisible by the number (18) 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 1876968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574000).

1876968 is an abundant number, since it is smaller than the sum of its proper divisors (3271032).

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

1876968 is a wasteful number, since it uses less digits than its factorization.

1876968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1876968 is about 1370.0248172935. The cubic root of 1876968 is about 123.3537309012.

The spelling of 1876968 in words is "one million, eight hundred seventy-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 199 262 393 398 524 597 786 796 1048 1179 1194 1572 1592 1791 2358 2388 3144 3582 4716 4776 7164 9432 14328 26069 52138 78207 104276 156414 208552 234621 312828 469242 625656 938484 1876968