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1001389872 = 243748689
BaseRepresentation
bin111011101011111…
…111111100110000
32120210021212122210
4323223333330300
54022323433442
6243211132120
733546450000
oct7353777460
92523255583
101001389872
1147429303a
1223b444040
1312c6059b2
1496dd0000
155cda819c
hex3bafff30

1001389872 has 100 divisors (see below), whose sum is σ = 3018245560. Its totient is φ = 286078464.

The previous prime is 1001389789. The next prime is 1001389877. The reversal of 1001389872 is 2789831001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001389872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001389877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110904 + ... + 119592.

Almost surely, 21001389872 is an apocalyptic number.

1001389872 is a gapful number since it is divisible by the number (12) 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 1001389872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509122780).

1001389872 is an abundant number, since it is smaller than the sum of its proper divisors (2016855688).

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

1001389872 is an frugal number, since it uses more digits than its factorization.

1001389872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1001389872 is about 31644.7447769768. The cubic root of 1001389872 is about 1000.4630761940.

The spelling of 1001389872 in words is "one billion, one million, three hundred eighty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2401 2744 4116 4802 5488 7203 8232 8689 9604 14406 16464 17378 19208 26067 28812 34756 38416 52134 57624 60823 69512 104268 115248 121646 139024 182469 208536 243292 364938 417072 425761 486584 729876 851522 973168 1277283 1459752 1703044 2554566 2919504 2980327 3406088 5109132 5960654 6812176 8940981 10218264 11921308 17881962 20436528 20862289 23842616 35763924 41724578 47685232 62586867 71527848 83449156 125173734 143055696 166898312 250347468 333796624 500694936 1001389872