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20432412240 = 2435463183877
BaseRepresentation
bin10011000001110111…
…011101111001010000
31221201222012002022220
4103001313131321100
5313321144142430
613215253301040
71322222431662
oct230167357120
957658162286
1020432412240
118735622809
123b62934780
131c08157176
14dbb8c6532
157e8bd3110
hex4c1ddde50

20432412240 has 80 divisors (see below), whose sum is σ = 63477627648. Its totient is φ = 5436845568.

The previous prime is 20432412193. The next prime is 20432412257. The reversal of 20432412240 is 4221423402.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20432412240.

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, 19182 + ... + 203058.

Almost surely, 220432412240 is an apocalyptic number.

20432412240 is a gapful number since it is divisible by the number (20) 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 20432412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31738813824).

20432412240 is an abundant number, since it is smaller than the sum of its proper divisors (43045215408).

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

20432412240 is a wasteful number, since it uses less digits than its factorization.

20432412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184356 (or 184350 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20432412240 its reverse (4221423402), we get a palindrome (24653835642).

The spelling of 20432412240 in words is "twenty billion, four hundred thirty-two million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 463 926 1389 1852 2315 2778 3704 4630 5556 6945 7408 9260 11112 13890 18520 22224 27780 37040 55560 111120 183877 367754 551631 735508 919385 1103262 1471016 1838770 2206524 2758155 2942032 3677540 4413048 5516310 7355080 8826096 11032620 14710160 22065240 44130480 85135051 170270102 255405153 340540204 425675255 510810306 681080408 851350510 1021620612 1277025765 1362160816 1702701020 2043241224 2554051530 3405402040 4086482448 5108103060 6810804080 10216206120 20432412240