[go: up one dir, main page]

Search a number
-
+
128896866 = 2337418317
BaseRepresentation
bin1111010111011…
…00111101100010
322222112122021000
413223230331202
5230444144431
620442412430
73123414420
oct753547542
9288478230
10128896866
116683913a
1237201116
1320920647
1413194110
15b4b19e6
hex7aecf62

128896866 has 64 divisors (see below), whose sum is σ = 335381760. Its totient is φ = 35925120.

The previous prime is 128896847. The next prime is 128896897. The reversal of 128896866 is 668698821.

It is a happy number.

It is a super-2 number, since 2×1288968662 = 33228804129243912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 11340 + ... + 19656.

It is an arithmetic number, because the mean of its divisors is an integer number (5240340).

Almost surely, 2128896866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128896866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167690880).

128896866 is an abundant number, since it is smaller than the sum of its proper divisors (206484894).

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

128896866 is a wasteful number, since it uses less digits than its factorization.

128896866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8370 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 128896866 is about 11353.2755625855. The cubic root of 128896866 is about 505.1427443421.

The spelling of 128896866 in words is "one hundred twenty-eight million, eight hundred ninety-six thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 189 246 287 369 378 574 738 861 1107 1722 2214 2583 5166 7749 8317 15498 16634 24951 49902 58219 74853 116438 149706 174657 224559 340997 349314 449118 523971 681994 1022991 1047942 1571913 2045982 2386979 3068973 3143826 4773958 6137946 7160937 9206919 14321874 18413838 21482811 42965622 64448433 128896866