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11251240 = 23571113281
BaseRepresentation
bin101010111010…
…111000101000
3210011121210121
4222322320220
510340014430
61041053024
7164430310
oct52727050
923147717
1011251240
116395250
123927174
13243c250
1416cc440
15ec3a7a
hexabae28

11251240 has 128 divisors (see below), whose sum is σ = 34110720. Its totient is φ = 3225600.

The previous prime is 11251213. The next prime is 11251277. The reversal of 11251240 is 4215211.

11251240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39900 + ... + 40180.

It is an arithmetic number, because the mean of its divisors is an integer number (266490).

Almost surely, 211251240 is an apocalyptic number.

11251240 is a gapful number since it is divisible by the number (10) 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 11251240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055360).

11251240 is an abundant number, since it is smaller than the sum of its proper divisors (22859480).

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

11251240 is a wasteful number, since it uses less digits than its factorization.

11251240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 11251240 is about 3354.2868094425. The cubic root of 11251240 is about 224.0784695319.

Adding to 11251240 its reverse (4215211), we get a palindrome (15466451).

The spelling of 11251240 in words is "eleven million, two hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 281 286 308 364 385 440 455 520 562 572 616 715 728 770 910 1001 1124 1144 1405 1430 1540 1820 1967 2002 2248 2810 2860 3080 3091 3640 3653 3934 4004 5005 5620 5720 6182 7306 7868 8008 9835 10010 11240 12364 14612 15455 15736 18265 19670 20020 21637 24728 25571 29224 30910 36530 39340 40040 40183 43274 51142 61820 73060 78680 80366 86548 102284 108185 123640 127855 146120 160732 173096 200915 204568 216370 255710 281281 321464 401830 432740 511420 562562 803660 865480 1022840 1125124 1406405 1607320 2250248 2812810 5625620 11251240