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40070600 = 23522331281
BaseRepresentation
bin1001100011011…
…0110111001000
32210101210112022
42120312313020
540224224400
63550504012
7664410623
oct230666710
983353468
1040070600
11206896a9
1211505008
1383bca1b
145470dba
1537b7b85
hex2636dc8

40070600 has 96 divisors (see below), whose sum is σ = 100707840. Its totient is φ = 14784000.

The previous prime is 40070599. The next prime is 40070621. The reversal of 40070600 is 607004.

40070600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142460 + ... + 142740.

It is an arithmetic number, because the mean of its divisors is an integer number (1049040).

Almost surely, 240070600 is an apocalyptic number.

40070600 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 40070600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50353920).

40070600 is an abundant number, since it is smaller than the sum of its proper divisors (60637240).

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

40070600 is a wasteful number, since it uses less digits than its factorization.

40070600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 40070600 is about 6330.1342797764. The cubic root of 40070600 is about 342.1962782441.

Adding to 40070600 its reverse (607004), we get a palindrome (40677604).

The spelling of 40070600 in words is "forty million, seventy thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 23 25 31 40 46 50 62 92 100 115 124 155 184 200 230 248 281 310 460 562 575 620 713 775 920 1124 1150 1240 1405 1426 1550 2248 2300 2810 2852 3100 3565 4600 5620 5704 6200 6463 7025 7130 8711 11240 12926 14050 14260 17422 17825 25852 28100 28520 32315 34844 35650 43555 51704 56200 64630 69688 71300 87110 129260 142600 161575 174220 200353 217775 258520 323150 348440 400706 435550 646300 801412 871100 1001765 1292600 1602824 1742200 2003530 4007060 5008825 8014120 10017650 20035300 40070600