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2145808 = 24731723
BaseRepresentation
bin1000001011111000010000
311001000111101
420023320100
51022131213
6113554144
724145000
oct10137020
94030441
102145808
1112361a5
12875954
135a1912
143dc000
152c5bdd
hex20be10

2145808 has 80 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 827904.

The previous prime is 2145779. The next prime is 2145821. The reversal of 2145808 is 8085412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93285 + ... + 93307.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

22145808 is an apocalyptic number.

2145808 is a gapful number since it is divisible by the number (28) 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 2145808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

2145808 is an abundant number, since it is smaller than the sum of its proper divisors (3210992).

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

2145808 is a wasteful number, since it uses less digits than its factorization.

2145808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 2145808 is about 1464.8576722672. The cubic root of 2145808 is about 128.9823504087.

2145808 divided by its sum of digits (28) gives a triangular number (76636 = T391).

The spelling of 2145808 in words is "two million, one hundred forty-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 49 56 68 92 98 112 119 136 161 184 196 238 272 322 343 368 391 392 476 644 686 782 784 833 952 1127 1288 1372 1564 1666 1904 2254 2576 2737 2744 3128 3332 4508 5474 5488 5831 6256 6664 7889 9016 10948 11662 13328 15778 18032 19159 21896 23324 31556 38318 43792 46648 63112 76636 93296 126224 134113 153272 268226 306544 536452 1072904 2145808