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11922240 = 2635111129
BaseRepresentation
bin101101011110…
…101101000000
3211102201020110
4231132231000
511023002430
61103311320
7203223501
oct55365500
924381213
1011922240
1168033a0
123bab540
1326157a5
141824ba8
1510a77b0
hexb5eb40

11922240 has 112 divisors (see below), whose sum is σ = 41330880. Its totient is φ = 2887680.

The previous prime is 11922227. The next prime is 11922241. The reversal of 11922240 is 4222911.

11922240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11922241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9996 + ... + 11124.

Almost surely, 211922240 is an apocalyptic number.

11922240 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 11922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665440).

11922240 is an abundant number, since it is smaller than the sum of its proper divisors (29408640).

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

11922240 is a wasteful number, since it uses less digits than its factorization.

11922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11922240 is about 3452.8596843776. The cubic root of 11922240 is about 228.4472599401.

The spelling of 11922240 in words is "eleven million, nine hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1129 1320 1760 2112 2258 2640 3387 3520 4516 5280 5645 6774 9032 10560 11290 12419 13548 16935 18064 22580 24838 27096 33870 36128 37257 45160 49676 54192 62095 67740 72256 74514 90320 99352 108384 124190 135480 149028 180640 186285 198704 216768 248380 270960 298056 361280 372570 397408 496760 541920 596112 745140 794816 993520 1083840 1192224 1490280 1987040 2384448 2980560 3974080 5961120 11922240