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11939340 = 22357231131
BaseRepresentation
bin101101100010…
…111000001100
3211110120200210
4231202320030
511024024330
61103522420
7203324400
oct55427014
924416623
1011939340
116815226
123bb9410
1326204ca
14182b100
1510ac8b0
hexb62e0c

11939340 has 144 divisors (see below), whose sum is σ = 40449024. Its totient is φ = 2620800.

The previous prime is 11939339. The next prime is 11939341. The reversal of 11939340 is 4393911.

It is an interprime number because it is at equal distance from previous prime (11939339) and next prime (11939341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11939298 and 11939307.

It is not an unprimeable number, because it can be changed into a prime (11939341) 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 47 ways as a sum of consecutive naturals, for example, 91075 + ... + 91205.

It is an arithmetic number, because the mean of its divisors is an integer number (280896).

Almost surely, 211939340 is an apocalyptic number.

11939340 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 11939340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224512).

11939340 is an abundant number, since it is smaller than the sum of its proper divisors (28509684).

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

11939340 is a wasteful number, since it uses less digits than its factorization.

11939340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 11939340 is about 3455.3350054662. The cubic root of 11939340 is about 228.5564279590.

The spelling of 11939340 in words is "eleven million, nine hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 49 60 62 70 84 93 98 105 124 131 140 147 155 186 196 210 217 245 262 294 310 372 393 420 434 465 490 524 588 620 651 655 735 786 868 917 930 980 1085 1302 1310 1470 1519 1572 1834 1860 1965 2170 2604 2620 2751 2940 3038 3255 3668 3930 4061 4340 4557 4585 5502 6076 6419 6510 7595 7860 8122 9114 9170 11004 12183 12838 13020 13755 15190 16244 18228 18340 19257 20305 22785 24366 25676 27510 28427 30380 32095 38514 40610 45570 48732 55020 56854 60915 64190 77028 81220 85281 91140 96285 113708 121830 128380 142135 170562 192570 198989 243660 284270 341124 385140 397978 426405 568540 596967 795956 852810 994945 1193934 1705620 1989890 2387868 2984835 3979780 5969670 11939340