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1000139976 = 23321110112503
BaseRepresentation
bin111011100111001…
…110110011001000
32120200221101010100
4323213032303020
54022013434401
6243124245400
733533022663
oct7347166310
92520841110
101000139976
11473609a70
1223ab40860
1312c288b04
1496b866da
155cc0cb86
hex3b9cecc8

1000139976 has 96 divisors (see below), whose sum is σ = 2984454720. Its totient is φ = 300048000.

The previous prime is 1000139947. The next prime is 1000139983. The reversal of 1000139976 is 6799310001.

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 1000139976.

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 23 ways as a sum of consecutive naturals, for example, 73741 + ... + 86243.

It is an arithmetic number, because the mean of its divisors is an integer number (31088070).

Almost surely, 21000139976 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 1000139976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492227360).

1000139976 is an abundant number, since it is smaller than the sum of its proper divisors (1984314744).

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

1000139976 is a wasteful number, since it uses less digits than its factorization.

1000139976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12627 (or 12620 counting only the distinct ones).

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

The square root of 1000139976 is about 31624.9897391288. The cubic root of 1000139976 is about 1000.0466564898.

Adding to 1000139976 its reverse (6799310001), we get a palindrome (7799449977).

The spelling of 1000139976 in words is "one billion, one hundred thirty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 101 132 198 202 264 303 396 404 606 792 808 909 1111 1212 1818 2222 2424 3333 3636 4444 6666 7272 8888 9999 12503 13332 19998 25006 26664 37509 39996 50012 75018 79992 100024 112527 137533 150036 225054 275066 300072 412599 450108 550132 825198 900216 1100264 1237797 1262803 1650396 2475594 2525606 3300792 3788409 4951188 5051212 7576818 9902376 10102424 11365227 13890833 15153636 22730454 27781666 30307272 41672499 45460908 55563332 83344998 90921816 111126664 125017497 166689996 250034994 333379992 500069988 1000139976