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15994000 = 245311727
BaseRepresentation
bin111101000000…
…110010010000
31010002120122101
4331000302100
513043302000
61330450144
7252642511
oct75006220
933076571
1015994000
119034590
125433954
13340cc09
1421a4a08
15160de6a
hexf40c90

15994000 has 80 divisors (see below), whose sum is σ = 42247296. Its totient is φ = 5808000.

The previous prime is 15993997. The next prime is 15994001. The reversal of 15994000 is 49951.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 15994000.

It is not an unprimeable number, because it can be changed into a prime (15994001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21637 + ... + 22363.

Almost surely, 215994000 is an apocalyptic number.

15994000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15994000 is the 2000-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123648).

15994000 is an abundant number, since it is smaller than the sum of its proper divisors (26253296).

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

15994000 is a wasteful number, since it uses less digits than its factorization.

15994000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 15994000 is about 3999.2499296743. The cubic root of 15994000 is about 251.9527080147.

Subtracting from 15994000 its reverse (49951), we obtain a square (15944049 = 39932).

The spelling of 15994000 in words is "fifteen million, nine hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 727 880 1000 1100 1375 1454 2000 2200 2750 2908 3635 4400 5500 5816 7270 7997 11000 11632 14540 15994 18175 22000 29080 31988 36350 39985 58160 63976 72700 79970 90875 127952 145400 159940 181750 199925 290800 319880 363500 399850 639760 727000 799700 999625 1454000 1599400 1999250 3198800 3998500 7997000 15994000