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11426640 = 2435471013
BaseRepresentation
bin101011100101…
…101101010000
3210111112101220
4223211231100
510411123030
61044525040
7166060551
oct53455520
923445356
1011426640
1164a5005
1239b0780
1324a1034
141736328
15100aa10
hexae5b50

11426640 has 80 divisors (see below), whose sum is σ = 36211968. Its totient is φ = 2979328.

The previous prime is 11426633. The next prime is 11426647. The reversal of 11426640 is 4662411.

11426640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11426633) and next prime (11426647).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11426640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11426647) 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, 10774 + ... + 11786.

Almost surely, 211426640 is an apocalyptic number.

11426640 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 11426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105984).

11426640 is an abundant number, since it is smaller than the sum of its proper divisors (24785328).

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

11426640 is a wasteful number, since it uses less digits than its factorization.

11426640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 11426640 is about 3380.3313447057. The cubic root of 11426640 is about 225.2368863144.

The spelling of 11426640 in words is "eleven million, four hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1013 1128 1410 1880 2026 2256 2820 3039 3760 4052 5065 5640 6078 8104 10130 11280 12156 15195 16208 20260 24312 30390 40520 47611 48624 60780 81040 95222 121560 142833 190444 238055 243120 285666 380888 476110 571332 714165 761776 952220 1142664 1428330 1904440 2285328 2856660 3808880 5713320 11426640