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11981340 = 22325737257
BaseRepresentation
bin101101101101…
…001000011100
3211112201022100
4231231020130
511031400330
61104445100
7203561010
oct55551034
924481270
1011981340
116843838
124019790
132636667
14183c540
1510ba060
hexb6d21c

11981340 has 144 divisors (see below), whose sum is σ = 42823872. Its totient is φ = 2654208.

The previous prime is 11981329. The next prime is 11981341. The reversal of 11981340 is 4318911.

11981340 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 (11981341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46492 + ... + 46748.

It is an arithmetic number, because the mean of its divisors is an integer number (297388).

Almost surely, 211981340 is an apocalyptic number.

11981340 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 11981340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21411936).

11981340 is an abundant number, since it is smaller than the sum of its proper divisors (30842532).

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

11981340 is a wasteful number, since it uses less digits than its factorization.

11981340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11981340 is about 3461.4072282816. The cubic root of 11981340 is about 228.8241182377.

It can be divided in two parts, 11981 and 340, that added together give a palindrome (12321).

The spelling of 11981340 in words is "eleven million, nine hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 257 259 315 333 370 420 444 514 518 555 630 666 740 771 777 1028 1036 1110 1260 1285 1295 1332 1542 1554 1665 1799 2220 2313 2331 2570 2590 3084 3108 3330 3598 3855 3885 4626 4662 5140 5180 5397 6660 7196 7710 7770 8995 9252 9324 9509 10794 11565 11655 15420 15540 16191 17990 19018 21588 23130 23310 26985 28527 32382 35980 38036 46260 46620 47545 53970 57054 64764 66563 80955 85581 95090 107940 114108 133126 142635 161910 171162 190180 199689 266252 285270 323820 332815 342324 399378 427905 570540 599067 665630 798756 855810 998445 1198134 1331260 1711620 1996890 2396268 2995335 3993780 5990670 11981340