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2134496 = 25713733
BaseRepresentation
bin1000001001000111100000
311000102222102
420021013200
51021300441
6113425532
724100010
oct10110740
94012872
102134496
111228751
1286b2a8
13599720
143d7c40
152c269b
hex2091e0

2134496 has 48 divisors (see below), whose sum is σ = 5179104. Its totient is φ = 843264.

The previous prime is 2134471. The next prime is 2134507. The reversal of 2134496 is 6944312.

It is a super-3 number, since 3×21344963 = 29174759896933367808, which contains 333 as substring.

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, 2546 + ... + 3278.

It is an arithmetic number, because the mean of its divisors is an integer number (107898).

22134496 is an apocalyptic number.

2134496 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 2134496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589552).

2134496 is an abundant number, since it is smaller than the sum of its proper divisors (3044608).

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

2134496 is a wasteful number, since it uses less digits than its factorization.

2134496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 755 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 2134496 is about 1460.9914441912. The cubic root of 2134496 is about 128.7552999986.

The spelling of 2134496 in words is "two million, one hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 733 1456 1466 2912 2932 5131 5864 9529 10262 11728 19058 20524 23456 38116 41048 66703 76232 82096 133406 152464 164192 266812 304928 533624 1067248 2134496