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4023135700 = 225240231357
BaseRepresentation
bin1110111111001100…
…0010110111010100
3101101101020110122221
43233303002313110
531214410320300
61503113432124
7201461042413
oct35763026724
911341213587
104023135700
111784a56441
1294340b644
134c166218c
142a245747a
151882e531a
hexefcc2dd4

4023135700 has 18 divisors (see below), whose sum is σ = 8730204686. Its totient is φ = 1609254240.

The previous prime is 4023135691. The next prime is 4023135707. The reversal of 4023135700 is 75313204.

It can be written as a sum of positive squares in 3 ways, for example, as 10419984 + 4012715716 = 3228^2 + 63346^2 .

It is a super-3 number, since 3×40231357003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023135707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20115579 + ... + 20115778.

Almost surely, 24023135700 is an apocalyptic number.

It is an amenable number.

4023135700 is an abundant number, since it is smaller than the sum of its proper divisors (4707068986).

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

4023135700 is a wasteful number, since it uses less digits than its factorization.

4023135700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40231371 (or 40231364 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 4023135700 is about 63428.1932582034. The cubic root of 4023135700 is about 1590.4556398899.

Adding to 4023135700 its reverse (75313204), we get a palindrome (4098448904).

The spelling of 4023135700 in words is "four billion, twenty-three million, one hundred thirty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 40231357 80462714 160925428 201156785 402313570 804627140 1005783925 2011567850 4023135700