Search a number
-
+
2136576 = 29313107
BaseRepresentation
bin1000001001101000000000
311000112211110
420021220000
51021332301
6113443320
724106041
oct10115000
94015743
102136576
11122a272
12870540
1359a660
143d88c8
152c30d6
hex209a00

2136576 has 80 divisors (see below), whose sum is σ = 6187104. Its totient is φ = 651264.

The previous prime is 2136559. The next prime is 2136583. The reversal of 2136576 is 6756312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19915 + ... + 20021.

22136576 is an apocalyptic number.

2136576 is a gapful number since it is divisible by the number (26) 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 2136576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093552).

2136576 is an abundant number, since it is smaller than the sum of its proper divisors (4050528).

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

2136576 is a wasteful number, since it uses less digits than its factorization.

2136576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 2136576 is about 1461.7031162312. The cubic root of 2136576 is about 128.7971091001.

Subtracting from 2136576 its product of digits (7560), we obtain a triangular number (2129016 = T2063).

The spelling of 2136576 in words is "two million, one hundred thirty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 107 128 156 192 208 214 256 312 321 384 416 428 512 624 642 768 832 856 1248 1284 1391 1536 1664 1712 2496 2568 2782 3328 3424 4173 4992 5136 5564 6656 6848 8346 9984 10272 11128 13696 16692 19968 20544 22256 27392 33384 41088 44512 54784 66768 82176 89024 133536 164352 178048 267072 356096 534144 712192 1068288 2136576