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11288940 = 22351341353
BaseRepresentation
bin101011000100…
…000101101100
3210020112111220
4223010011230
510342221230
61041543340
7164645235
oct53040554
923215456
1011288940
116410603
123944b50
132453460
1416dc08c
15eced10
hexac416c

11288940 has 96 divisors (see below), whose sum is σ = 34969536. Its totient is φ = 2703360.

The previous prime is 11288923. The next prime is 11288999. The reversal of 11288940 is 4988211.

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, 31804 + ... + 32156.

It is an arithmetic number, because the mean of its divisors is an integer number (364266).

Almost surely, 211288940 is an apocalyptic number.

11288940 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 11288940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484768).

11288940 is an abundant number, since it is smaller than the sum of its proper divisors (23680596).

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

11288940 is a wasteful number, since it uses less digits than its factorization.

11288940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 11288940 is about 3359.9017842788. The cubic root of 11288940 is about 224.3284668776.

The spelling of 11288940 in words is "eleven million, two hundred eighty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 353 390 410 492 533 615 706 780 820 1059 1066 1230 1412 1599 1765 2118 2132 2460 2665 3198 3530 4236 4589 5295 5330 6396 7060 7995 9178 10590 10660 13767 14473 15990 18356 21180 22945 27534 28946 31980 43419 45890 55068 57892 68835 72365 86838 91780 137670 144730 173676 188149 217095 275340 289460 376298 434190 564447 752596 868380 940745 1128894 1881490 2257788 2822235 3762980 5644470 11288940