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18828840 = 2335414389
BaseRepresentation
bin100011111010…
…0111000101000
31022102121022110
41013310320220
514310010330
61511322320
7316020402
oct107647050
938377273
1018828840
11a6a0428
1263803a0
133b93334
142701b72
1519bddb0
hex11f4e28

18828840 has 128 divisors (see below), whose sum is σ = 59875200. Its totient is φ = 4730880.

The previous prime is 18828827. The next prime is 18828841. The reversal of 18828840 is 4882881.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18828841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211516 + ... + 211604.

It is an arithmetic number, because the mean of its divisors is an integer number (467775).

Almost surely, 218828840 is an apocalyptic number.

18828840 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 18828840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937600).

18828840 is an abundant number, since it is smaller than the sum of its proper divisors (41046360).

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

18828840 is a wasteful number, since it uses less digits than its factorization.

18828840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 18828840 is about 4339.2211282671. The cubic root of 18828840 is about 266.0364771805.

The spelling of 18828840 in words is "eighteen million, eight hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 43 60 82 86 89 120 123 129 164 172 178 205 215 246 258 267 328 344 356 410 430 445 492 516 534 615 645 712 820 860 890 984 1032 1068 1230 1290 1335 1640 1720 1763 1780 2136 2460 2580 2670 3526 3560 3649 3827 4920 5160 5289 5340 7052 7298 7654 8815 10578 10680 10947 11481 14104 14596 15308 17630 18245 19135 21156 21894 22962 26445 29192 30616 35260 36490 38270 42312 43788 45924 52890 54735 57405 70520 72980 76540 87576 91848 105780 109470 114810 145960 153080 156907 211560 218940 229620 313814 437880 459240 470721 627628 784535 941442 1255256 1569070 1882884 2353605 3138140 3765768 4707210 6276280 9414420 18828840