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2136464 = 241161199
BaseRepresentation
bin1000001001100110010000
311000112200022
420021212100
51021331324
6113443012
724105521
oct10114620
94015608
102136464
11122a180
12870468
1359a5a5
143d8848
152c305e
hex209990

2136464 has 40 divisors (see below), whose sum is σ = 4612800. Its totient is φ = 950400.

The previous prime is 2136457. The next prime is 2136473. The reversal of 2136464 is 4646312.

It is a d-powerful number, because it can be written as 23 + 1 + 313 + 62 + 42 + 67 + 49 .

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10637 + ... + 10835.

It is an arithmetic number, because the mean of its divisors is an integer number (115320).

22136464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306400).

2136464 is an abundant number, since it is smaller than the sum of its proper divisors (2476336).

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

2136464 is a wasteful number, since it uses less digits than its factorization.

2136464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 2136464 is about 1461.6648042558. The cubic root of 2136464 is about 128.7948585322.

The spelling of 2136464 in words is "two million, one hundred thirty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 199 244 398 488 671 796 976 1342 1592 2189 2684 3184 4378 5368 8756 10736 12139 17512 24278 35024 48556 97112 133529 194224 267058 534116 1068232 2136464