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40030100 = 225211151241
BaseRepresentation
bin1001100010110…
…0111110010100
32210022201222022
42120230332110
540221430400
63545552312
7664151555
oct230547624
983281868
1040030100
1120661230
12114a5698
1383a7466
14546032c
1537aab85
hex262cf94

40030100 has 72 divisors (see below), whose sum is σ = 95785536. Its totient is φ = 14400000.

The previous prime is 40030069. The next prime is 40030103. The reversal of 40030100 is 103004.

40030100 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 not an unprimeable number, because it can be changed into a prime (40030103) by changing a digit.

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, 165980 + ... + 166220.

Almost surely, 240030100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47892768).

40030100 is an abundant number, since it is smaller than the sum of its proper divisors (55755436).

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

40030100 is a wasteful number, since it uses less digits than its factorization.

40030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 40030100 is about 6326.9344867795. The cubic root of 40030100 is about 342.0809516202.

Adding to 40030100 its reverse (103004), we get a palindrome (40133104).

The spelling of 40030100 in words is "forty million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 151 220 241 275 302 482 550 604 755 964 1100 1205 1510 1661 2410 2651 3020 3322 3775 4820 5302 6025 6644 7550 8305 10604 12050 13255 15100 16610 24100 26510 33220 36391 41525 53020 66275 72782 83050 132550 145564 166100 181955 265100 363910 400301 727820 800602 909775 1601204 1819550 2001505 3639100 4003010 8006020 10007525 20015050 40030100