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2264640 = 26357337
BaseRepresentation
bin1000101000111001000000
311021001111120
420220321000
51034432030
6120312240
725151310
oct10507100
94231446
102264640
111307504
12912680
13613a31
1442d440
152eb010
hex228e40

2264640 has 112 divisors (see below), whose sum is σ = 8241792. Its totient is φ = 516096.

The previous prime is 2264627. The next prime is 2264641. The reversal of 2264640 is 464622.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2264640.

It is not an unprimeable number, because it can be changed into a prime (2264641) by changing a digit.

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, 6552 + ... + 6888.

22264640 is an apocalyptic number.

2264640 is a gapful number since it is divisible by the number (20) 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 2264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120896).

2264640 is an abundant number, since it is smaller than the sum of its proper divisors (5977152).

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

2264640 is a wasteful number, since it uses less digits than its factorization.

2264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2264640 is about 1504.8720875875. The cubic root of 2264640 is about 131.3206603648.

The spelling of 2264640 in words is "two million, two hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 337 420 448 480 560 672 674 840 960 1011 1120 1344 1348 1680 1685 2022 2240 2359 2696 3360 3370 4044 4718 5055 5392 6720 6740 7077 8088 9436 10110 10784 11795 13480 14154 16176 18872 20220 21568 23590 26960 28308 32352 35385 37744 40440 47180 53920 56616 64704 70770 75488 80880 94360 107840 113232 141540 150976 161760 188720 226464 283080 323520 377440 452928 566160 754880 1132320 2264640