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11799920 = 2451122353
BaseRepresentation
bin101101000000…
…110101110000
3211012111110002
4231000311300
511010044140
61100525132
7202204046
oct55006560
924174402
1011799920
11672a500
123b507a8
1325a1c02
1417d2396
151081415
hexb40d70

11799920 has 120 divisors (see below), whose sum is σ = 32060448. Its totient is φ = 4026880.

The previous prime is 11799919. The next prime is 11799979. The reversal of 11799920 is 2999711.

It is a super-2 number, since 2×117999202 = 278476224012800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222614 + ... + 222666.

Almost surely, 211799920 is an apocalyptic number.

11799920 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 11799920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030224).

11799920 is an abundant number, since it is smaller than the sum of its proper divisors (20260528).

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

11799920 is a wasteful number, since it uses less digits than its factorization.

11799920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 38.

The square root of 11799920 is about 3435.1011629936. The cubic root of 11799920 is about 227.6632970006.

The spelling of 11799920 in words is "eleven million, seven hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 53 55 80 88 92 106 110 115 121 176 184 212 220 230 242 253 265 368 424 440 460 484 506 530 583 605 848 880 920 968 1012 1060 1166 1210 1219 1265 1840 1936 2024 2120 2332 2420 2438 2530 2783 2915 4048 4240 4664 4840 4876 5060 5566 5830 6095 6413 9328 9680 9752 10120 11132 11660 12190 12826 13409 13915 19504 20240 22264 23320 24380 25652 26818 27830 32065 44528 46640 48760 51304 53636 55660 64130 67045 97520 102608 107272 111320 128260 134090 147499 214544 222640 256520 268180 294998 513040 536360 589996 737495 1072720 1179992 1474990 2359984 2949980 5899960 11799920