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11399640 = 2335741331
BaseRepresentation
bin101011011111…
…000111011000
3210110011100220
4223133013120
510404242030
61044200040
7165616050
oct53370730
923404326
1011399640
11648679a
123999020
132491965
14172a560
151002a10
hexadf1d8

11399640 has 128 divisors (see below), whose sum is σ = 40158720. Its totient is φ = 2534400.

The previous prime is 11399629. The next prime is 11399657. The reversal of 11399640 is 4699311.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34275 + ... + 34605.

It is an arithmetic number, because the mean of its divisors is an integer number (313740).

Almost surely, 211399640 is an apocalyptic number.

11399640 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 11399640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079360).

11399640 is an abundant number, since it is smaller than the sum of its proper divisors (28759080).

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

11399640 is a wasteful number, since it uses less digits than its factorization.

11399640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 11399640 is about 3376.3352914069. The cubic root of 11399640 is about 225.0593423721.

The spelling of 11399640 in words is "eleven million, three hundred ninety-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 331 410 420 492 574 615 662 820 840 861 984 993 1148 1230 1324 1435 1640 1655 1722 1986 2296 2317 2460 2648 2870 3310 3444 3972 4305 4634 4920 4965 5740 6620 6888 6951 7944 8610 9268 9930 11480 11585 13240 13571 13902 17220 18536 19860 23170 27142 27804 34440 34755 39720 40713 46340 54284 55608 67855 69510 81426 92680 94997 108568 135710 139020 162852 189994 203565 271420 278040 284991 325704 379988 407130 474985 542840 569982 759976 814260 949970 1139964 1424955 1628520 1899940 2279928 2849910 3799880 5699820 11399640