Search a number
-
+
11943680 = 28573143
BaseRepresentation
bin101101100011…
…111100000000
3211110210122112
4231203330000
511024144210
61103554452
7203343140
oct55437400
924423575
1011943680
116818511
123bbba28
132622488
14182c920
1510add05
hexb63f00

11943680 has 144 divisors (see below), whose sum is σ = 34535424. Its totient is φ = 3870720.

The previous prime is 11943671. The next prime is 11943683. The reversal of 11943680 is 8634911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11943683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277739 + ... + 277781.

Almost surely, 211943680 is an apocalyptic number.

11943680 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 11943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267712).

11943680 is an abundant number, since it is smaller than the sum of its proper divisors (22591744).

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

11943680 is an equidigital number, since it uses as much as digits as its factorization.

11943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 11943680 is about 3455.9629627645. The cubic root of 11943680 is about 228.5841183431.

The spelling of 11943680 in words is "eleven million, nine hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 43 56 62 64 70 80 86 112 124 128 140 155 160 172 215 217 224 248 256 280 301 310 320 344 430 434 448 496 560 602 620 640 688 860 868 896 992 1085 1120 1204 1240 1280 1333 1376 1505 1720 1736 1792 1984 2170 2240 2408 2480 2666 2752 3010 3440 3472 3968 4340 4480 4816 4960 5332 5504 6020 6665 6880 6944 7936 8680 8960 9331 9632 9920 10664 11008 12040 13330 13760 13888 17360 18662 19264 19840 21328 24080 26660 27520 27776 34720 37324 38528 39680 42656 46655 48160 53320 55040 55552 69440 74648 77056 85312 93310 96320 106640 138880 149296 170624 186620 192640 213280 277760 298592 341248 373240 385280 426560 597184 746480 853120 1194368 1492960 1706240 2388736 2985920 5971840 11943680