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40010320 = 2457371931
BaseRepresentation
bin1001100010100…
…0001001010000
32210021201211201
42120220021100
540220312240
63545320544
7664040110
oct230501120
983251751
1040010320
1120648389
1211496154
13839b45c
145457040
1537a4d9a
hex2628250

40010320 has 80 divisors (see below), whose sum is σ = 109243008. Its totient is φ = 13340160.

The previous prime is 40010309. The next prime is 40010353. The reversal of 40010320 is 2301004.

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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 40010297 and 40010306.

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, 19755 + ... + 21685.

Almost surely, 240010320 is an apocalyptic number.

40010320 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 40010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54621504).

40010320 is an abundant number, since it is smaller than the sum of its proper divisors (69232688).

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

40010320 is a wasteful number, since it uses less digits than its factorization.

40010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 40010320 is about 6325.3711353564. The cubic root of 40010320 is about 342.0245983926.

Adding to 40010320 its reverse (2301004), we get a palindrome (42311324).

The spelling of 40010320 in words is "forty million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 1931 2072 2590 2960 3862 4144 5180 7724 9655 10360 13517 15448 19310 20720 27034 30896 38620 54068 67585 71447 77240 108136 135170 142894 154480 216272 270340 285788 357235 500129 540680 571576 714470 1000258 1081360 1143152 1428940 2000516 2500645 2857880 4001032 5001290 5715760 8002064 10002580 20005160 40010320