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14204820 = 22357311091
BaseRepresentation
bin110110001011…
…111110010100
3222201200100110
4312023332110
512114023240
61224243020
7231511320
oct66137624
928650313
1014204820
118022323
124910470
132c34726
141c5a980
1513a8c80
hexd8bf94

14204820 has 96 divisors (see below), whose sum is σ = 46964736. Its totient is φ = 3139200.

The previous prime is 14204803. The next prime is 14204849. The reversal of 14204820 is 2840241.

It is a super-2 number, since 2×142048202 = 403553822464800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 12475 + ... + 13565.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 214204820 is an apocalyptic number.

14204820 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 14204820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482368).

14204820 is an abundant number, since it is smaller than the sum of its proper divisors (32759916).

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

14204820 is a wasteful number, since it uses less digits than its factorization.

14204820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 14204820 is about 3768.9282296165. The cubic root of 14204820 is about 242.1838868278.

The spelling of 14204820 in words is "fourteen million, two hundred four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1091 1302 1860 2170 2182 2604 3255 3273 4340 4364 5455 6510 6546 7637 10910 13020 13092 15274 16365 21820 22911 30548 32730 33821 38185 45822 65460 67642 76370 91644 101463 114555 135284 152740 169105 202926 229110 236747 338210 405852 458220 473494 507315 676420 710241 946988 1014630 1183735 1420482 2029260 2367470 2840964 3551205 4734940 7102410 14204820