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2491104 = 253711337
BaseRepresentation
bin1001100000001011100000
311200120011010
421200023200
51114203404
6125220520
730113460
oct11401340
94616133
102491104
111451670
12a01740
13692b35
1448bba0
15343189
hex2602e0

2491104 has 96 divisors (see below), whose sum is σ = 8176896. Its totient is φ = 645120.

The previous prime is 2491091. The next prime is 2491117. The reversal of 2491104 is 4011942.

It is an interprime number because it is at equal distance from previous prime (2491091) and next prime (2491117).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 7224 + ... + 7560.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

22491104 is an apocalyptic number.

2491104 is a gapful number since it is divisible by the number (24) 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 2491104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088448).

2491104 is an abundant number, since it is smaller than the sum of its proper divisors (5685792).

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

2491104 is a wasteful number, since it uses less digits than its factorization.

2491104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2491104 is about 1578.3231608261. The cubic root of 2491104 is about 135.5597064432.

The spelling of 2491104 in words is "two million, four hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 337 352 462 528 616 672 674 924 1011 1056 1232 1348 1848 2022 2359 2464 2696 3696 3707 4044 4718 5392 7077 7392 7414 8088 9436 10784 11121 14154 14828 16176 18872 22242 25949 28308 29656 32352 37744 44484 51898 56616 59312 75488 77847 88968 103796 113232 118624 155694 177936 207592 226464 311388 355872 415184 622776 830368 1245552 2491104