Search a number
-
+
1986157000 = 23535473631
BaseRepresentation
bin111011001100010…
…0101100111001000
312010102022020012101
41312120211213020
513031424011000
6525030123144
7100135025122
oct16630454710
95112266171
101986157000
1192a152173
124751b04b4
1325863b539
1414bad4212
15b957ae6a
hex766259c8

1986157000 has 64 divisors (see below), whose sum is σ = 4657386240. Its totient is φ = 792792000.

The previous prime is 1986156989. The next prime is 1986157013. The reversal of 1986157000 is 7516891.

1986157000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545185 + ... + 548815.

It is an arithmetic number, because the mean of its divisors is an integer number (72771660).

Almost surely, 21986157000 is an apocalyptic number.

1986157000 is a gapful number since it is divisible by the number (10) 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 1986157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328693120).

1986157000 is an abundant number, since it is smaller than the sum of its proper divisors (2671229240).

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

1986157000 is a wasteful number, since it uses less digits than its factorization.

1986157000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 1986157000 is about 44566.3213649051. The cubic root of 1986157000 is about 1257.0074695552.

The spelling of 1986157000 in words is "one billion, nine hundred eighty-six million, one hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 547 1000 1094 2188 2735 3631 4376 5470 7262 10940 13675 14524 18155 21880 27350 29048 36310 54700 68375 72620 90775 109400 136750 145240 181550 273500 363100 453875 547000 726200 907750 1815500 1986157 3631000 3972314 7944628 9930785 15889256 19861570 39723140 49653925 79446280 99307850 198615700 248269625 397231400 496539250 993078500 1986157000