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2413260 = 2233541109
BaseRepresentation
bin1001001101001011001100
311112121101000
421031023030
51104211020
6123420300
726340513
oct11151314
94477330
102413260
1113a9133
12984690
13666585
1446b67a
1532a090
hex24d2cc

2413260 has 96 divisors (see below), whose sum is σ = 7761600. Its totient is φ = 622080.

The previous prime is 2413259. The next prime is 2413261. The reversal of 2413260 is 623142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2413259) and next prime (2413261).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2413261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22086 + ... + 22194.

It is an arithmetic number, because the mean of its divisors is an integer number (80850).

22413260 is an apocalyptic number.

2413260 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 2413260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880800).

2413260 is an abundant number, since it is smaller than the sum of its proper divisors (5348340).

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

2413260 is a wasteful number, since it uses less digits than its factorization.

2413260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2413260 is about 1553.4670900924. The cubic root of 2413260 is about 134.1327117671.

The spelling of 2413260 in words is "two million, four hundred thirteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 109 123 135 164 180 205 218 246 270 327 369 410 436 492 540 545 615 654 738 820 981 1090 1107 1230 1308 1476 1635 1845 1962 2180 2214 2460 2943 3270 3690 3924 4428 4469 4905 5535 5886 6540 7380 8938 9810 11070 11772 13407 14715 17876 19620 22140 22345 26814 29430 40221 44690 53628 58860 67035 80442 89380 120663 134070 160884 201105 241326 268140 402210 482652 603315 804420 1206630 2413260