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11273040 = 2433517307
BaseRepresentation
bin101011000000…
…001101010000
3210012201201000
4223000031100
510341214130
61041342000
7164551002
oct53001520
923181630
1011273040
1163aa669
123937900
13244914c
1416d6372
15eca260
hexac0350

11273040 has 160 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 2820096.

The previous prime is 11273033. The next prime is 11273051. The reversal of 11273040 is 4037211.

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

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, 36567 + ... + 36873.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 211273040 is an apocalyptic number.

11273040 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 11273040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

11273040 is an abundant number, since it is smaller than the sum of its proper divisors (29974320).

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

11273040 is a wasteful number, since it uses less digits than its factorization.

11273040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11273040 is about 3357.5348099461. The cubic root of 11273040 is about 224.2230983042.

The spelling of 11273040 in words is "eleven million, two hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 307 340 360 408 432 459 510 540 612 614 680 720 765 816 918 921 1020 1080 1224 1228 1360 1530 1535 1836 1842 2040 2160 2295 2448 2456 2763 3060 3070 3672 3684 4080 4590 4605 4912 5219 5526 6120 6140 7344 7368 8289 9180 9210 10438 11052 12240 12280 13815 14736 15657 16578 18360 18420 20876 22104 24560 26095 27630 31314 33156 36720 36840 41445 41752 44208 46971 52190 55260 62628 66312 73680 78285 82890 83504 93942 104380 110520 125256 132624 140913 156570 165780 187884 208760 221040 234855 250512 281826 313140 331560 375768 417520 469710 563652 626280 663120 704565 751536 939420 1127304 1252560 1409130 1878840 2254608 2818260 3757680 5636520 11273040