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11313240 = 2335234099
BaseRepresentation
bin101011001010…
…000001011000
3210021202211220
4223022001120
510344010430
61042252040
7165106131
oct53120130
923252756
1011313240
116427894
123957020
132461533
141706c88
15ed7110
hexaca058

11313240 has 64 divisors (see below), whose sum is σ = 35424000. Its totient is φ = 2884992.

The previous prime is 11313209. The next prime is 11313271. The reversal of 11313240 is 4231311.

It is an interprime number because it is at equal distance from previous prime (11313209) and next prime (11313271).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711 + ... + 4809.

It is an arithmetic number, because the mean of its divisors is an integer number (553500).

Almost surely, 211313240 is an apocalyptic number.

11313240 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 11313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17712000).

11313240 is an abundant number, since it is smaller than the sum of its proper divisors (24110760).

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

11313240 is a wasteful number, since it uses less digits than its factorization.

11313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11313240 is about 3363.5160175031. The cubic root of 11313240 is about 224.4893108867.

Adding to 11313240 its reverse (4231311), we get a palindrome (15544551).

It can be divided in two parts, 1131 and 3240, that added together give a triangular number (4371 = T93).

The spelling of 11313240 in words is "eleven million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4099 8198 12297 16396 20495 24594 32792 40990 49188 61485 81980 94277 98376 122970 163960 188554 245940 282831 377108 471385 491880 565662 754216 942770 1131324 1414155 1885540 2262648 2828310 3771080 5656620 11313240