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13858740 = 22325717647
BaseRepresentation
bin110100110111…
…011110110100
3222002002121200
4310313132310
512021434430
61213012500
7225540330
oct64673664
928062550
1013858740
117906305
124784130
132b4304c
141baa7c0
15133b460
hexd377b4

13858740 has 144 divisors (see below), whose sum is σ = 50948352. Its totient is φ = 2976768.

The previous prime is 13858739. The next prime is 13858763. The reversal of 13858740 is 4785831.

13858740 is a `hidden beast` number, since 1 + 38 + 587 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13858695 and 13858704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21097 + ... + 21743.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 213858740 is an apocalyptic number.

13858740 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 13858740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474176).

13858740 is an abundant number, since it is smaller than the sum of its proper divisors (37089612).

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

13858740 is a wasteful number, since it uses less digits than its factorization.

13858740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 13858740 is about 3722.7328671287. The cubic root of 13858740 is about 240.2008734941.

The spelling of 13858740 in words is "thirteen million, eight hundred fifty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 647 714 765 1020 1071 1190 1260 1294 1428 1530 1785 1941 2142 2380 2588 3060 3235 3570 3882 4284 4529 5355 5823 6470 7140 7764 9058 9705 10710 10999 11646 12940 13587 18116 19410 21420 21998 22645 23292 27174 29115 32997 38820 40761 43996 45290 54348 54995 58230 65994 67935 76993 81522 90580 98991 109990 116460 131988 135870 153986 163044 164985 197982 203805 219980 230979 271740 307972 329970 384965 395964 407610 461958 494955 659940 692937 769930 815220 923916 989910 1154895 1385874 1539860 1979820 2309790 2771748 3464685 4619580 6929370 13858740