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1139976 = 233271223
BaseRepresentation
bin100010110010100001000
32010220202100
410112110020
5242434401
640233400
712455355
oct4262410
92126670
101139976
11709532
1246b860
1330bb56
1421962c
15177b86
hex116508

1139976 has 48 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 372960.

The previous prime is 1139959. The next prime is 1139989. The reversal of 1139976 is 6799311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1139976.

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 11 ways as a sum of consecutive naturals, for example, 5001 + ... + 5223.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

21139976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1139976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1139976 is an abundant number, since it is smaller than the sum of its proper divisors (2004984).

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

1139976 is a wasteful number, since it uses less digits than its factorization.

1139976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 1139976 is about 1067.6965861142. The cubic root of 1139976 is about 104.4636595936.

It can be divided in two parts, 113997 and 6, that added together give a triangular number (114003 = T477).

The spelling of 1139976 in words is "one million, one hundred thirty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 223 284 426 446 568 639 669 852 892 1278 1338 1704 1784 2007 2556 2676 4014 5112 5352 8028 15833 16056 31666 47499 63332 94998 126664 142497 189996 284994 379992 569988 1139976