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14913990 = 2335713607
BaseRepresentation
bin111000111001…
…000111000110
31001001201011000
4320321013012
512304221430
61251354130
7240524010
oct70710706
931051130
1014913990
118467113
124bb2946
133122460
141da31b0
151498e60
hexe391c6

14913990 has 128 divisors (see below), whose sum is σ = 49029120. Its totient is φ = 3141504.

The previous prime is 14913989. The next prime is 14914001. The reversal of 14913990 is 9931941.

14913990 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 super-3 number, since 3×149139903 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24267 + ... + 24873.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 214913990 is an apocalyptic number.

14913990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14913990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24514560).

14913990 is an abundant number, since it is smaller than the sum of its proper divisors (34115130).

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

14913990 is a wasteful number, since it uses less digits than its factorization.

14913990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 14913990 is about 3861.8635397953. The cubic root of 14913990 is about 246.1489282621.

The spelling of 14913990 in words is "fourteen million, nine hundred thirteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 607 630 702 819 910 945 1170 1214 1365 1638 1755 1821 1890 2457 2730 3035 3510 3642 4095 4249 4914 5463 6070 7891 8190 8498 9105 10926 12285 12747 15782 16389 18210 21245 23673 24570 25494 27315 32778 38241 39455 42490 47346 54630 55237 63735 71019 76482 78910 81945 110474 114723 118365 127470 142038 163890 165711 191205 213057 229446 236730 276185 331422 355095 382410 426114 497133 552370 573615 710190 828555 994266 1065285 1147230 1491399 1657110 2130570 2485665 2982798 4971330 7456995 14913990