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4090126000 = 245310212003
BaseRepresentation
bin1111001111001010…
…0101111010110000
3101120001021221002011
43303302211322300
531334033013000
61513505332304
7203233332412
oct36362457260
911501257064
104090126000
111809851224
12961937094
135024b8acc
142ab2d49b2
1518e1292ba
hexf3ca5eb0

4090126000 has 80 divisors (see below), whose sum is σ = 9904553568. Its totient is φ = 1633632000.

The previous prime is 4090125989. The next prime is 4090126043. The reversal of 4090126000 is 6210904.

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

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, 2040999 + ... + 2043001.

Almost surely, 24090126000 is an apocalyptic number.

4090126000 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 4090126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952276784).

4090126000 is an abundant number, since it is smaller than the sum of its proper divisors (5814427568).

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

4090126000 is a wasteful number, since it uses less digits than its factorization.

4090126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4090126000 is about 63954.0929104620. The cubic root of 4090126000 is about 1599.2347903422.

Adding to 4090126000 its reverse (6210904), we get a palindrome (4096336904).

The spelling of 4090126000 in words is "four billion, ninety million, one hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1021 2000 2003 2042 4006 4084 5105 8012 8168 10015 10210 16024 16336 20030 20420 25525 32048 40060 40840 50075 51050 80120 81680 100150 102100 127625 160240 200300 204200 250375 255250 400600 408400 500750 510500 801200 1001500 1021000 2003000 2042000 2045063 4006000 4090126 8180252 10225315 16360504 20450630 32721008 40901260 51126575 81802520 102253150 163605040 204506300 255632875 409012600 511265750 818025200 1022531500 2045063000 4090126000