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40010960 = 24511192393
BaseRepresentation
bin1001100010100…
…0010011010000
32210021202201102
42120220103100
540220322320
63545323532
7664042013
oct230502320
983252642
1040010960
1120648910
12114965a8
13839b832
14545737a
1537a5175
hex26284d0

40010960 has 80 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 13777920.

The previous prime is 40010951. The next prime is 40010983. The reversal of 40010960 is 6901004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 15524 + ... + 17916.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 240010960 is an apocalyptic number.

40010960 is a gapful number since it is divisible by the number (40) 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 40010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

40010960 is an abundant number, since it is smaller than the sum of its proper divisors (66857200).

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

40010960 is a wasteful number, since it uses less digits than its factorization.

40010960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 40010960 is about 6325.4217250710. The cubic root of 40010960 is about 342.0264220436.

Adding to 40010960 its reverse (6901004), we get a palindrome (46911964).

The spelling of 40010960 in words is "forty million, ten thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 2393 3344 4180 4786 8360 9572 11965 16720 19144 23930 26323 38288 45467 47860 52646 90934 95720 105292 131615 181868 191440 210584 227335 263230 363736 421168 454670 500137 526460 727472 909340 1000274 1052920 1818680 2000548 2105840 2500685 3637360 4001096 5001370 8002192 10002740 20005480 40010960