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11145540 = 22357217223
BaseRepresentation
bin101010100001…
…000101000100
3202222020210210
4222201011010
510323124130
61034515420
7163510200
oct52410504
922866723
1011145540
11632289a
123895b70
1324030c3
1416a1b00
15ea25b0
hexaa1144

11145540 has 144 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 2386944.

The previous prime is 11145539. The next prime is 11145551. The reversal of 11145540 is 4554111.

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

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49869 + ... + 50091.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

Almost surely, 211145540 is an apocalyptic number.

11145540 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 11145540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

11145540 is an abundant number, since it is smaller than the sum of its proper divisors (27464892).

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

11145540 is a wasteful number, since it uses less digits than its factorization.

11145540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 11145540 is about 3338.4936723019. The cubic root of 11145540 is about 223.3745573762.

Adding to 11145540 its reverse (4554111), we get a palindrome (15699651).

The spelling of 11145540 in words is "eleven million, one hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 223 238 245 255 294 340 357 420 446 476 490 510 588 595 669 714 735 833 892 980 1020 1115 1190 1338 1428 1470 1561 1666 1785 2230 2380 2499 2676 2940 3122 3332 3345 3570 3791 4165 4460 4683 4998 6244 6690 7140 7582 7805 8330 9366 9996 10927 11373 12495 13380 15164 15610 16660 18732 18955 21854 22746 23415 24990 26537 31220 32781 37910 43708 45492 46830 49980 53074 54635 56865 65562 75820 79611 93660 106148 109270 113730 131124 132685 159222 163905 185759 218540 227460 265370 318444 327810 371518 398055 530740 557277 655620 743036 796110 928795 1114554 1592220 1857590 2229108 2786385 3715180 5572770 11145540