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13913900 = 225271113139
BaseRepresentation
bin110101000100…
…111100101100
3222011220021122
4311010330230
512030221100
61214120112
7226160210
oct65047454
928156248
1013913900
1179437a0
1247b0038
132b621a0
141bc2940
15134c985
hexd44f2c

13913900 has 144 divisors (see below), whose sum is σ = 40830720. Its totient is φ = 3974400.

The previous prime is 13913899. The next prime is 13913923. The reversal of 13913900 is 931931.

13913900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×139139002 = 387193226420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13913900.

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, 100031 + ... + 100169.

Almost surely, 213913900 is an apocalyptic number.

13913900 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 13913900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415360).

13913900 is an abundant number, since it is smaller than the sum of its proper divisors (26916820).

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

13913900 is a wasteful number, since it uses less digits than its factorization.

13913900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 26.

The square root of 13913900 is about 3730.1340458488. The cubic root of 13913900 is about 240.5191309162.

It can be divided in two parts, 139 and 13900, that multiplied together give a square (1932100 = 13902).

The spelling of 13913900 in words is "thirteen million, nine hundred thirteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 139 140 143 154 175 182 220 260 275 278 286 308 325 350 364 385 455 550 556 572 650 695 700 715 770 910 973 1001 1100 1300 1390 1430 1529 1540 1807 1820 1925 1946 2002 2275 2780 2860 3058 3475 3575 3614 3850 3892 4004 4550 4865 5005 6116 6950 7150 7228 7645 7700 9035 9100 9730 10010 10703 12649 13900 14300 15290 18070 19460 19877 20020 21406 24325 25025 25298 30580 36140 38225 39754 42812 45175 48650 50050 50596 53515 63245 76450 79508 90350 97300 99385 100100 107030 126490 139139 152900 180700 198770 214060 252980 267575 278278 316225 397540 496925 535150 556556 632450 695695 993850 1070300 1264900 1391390 1987700 2782780 3478475 6956950 13913900