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20204430040 = 23523111719661
BaseRepresentation
bin10010110100010001…
…110010001011011000
31221011002012101112201
4102310101302023120
5312334313230130
613140511015544
71313453551564
oct226421621330
957132171481
1020204430040
118628968373
123aba50a5b4
131b9cb53462
14d994dc6a4
157d3b9cbca
hex4b44722d8

20204430040 has 64 divisors (see below), whose sum is σ = 47481370560. Its totient is φ = 7723077120.

The previous prime is 20204430013. The next prime is 20204430061. The reversal of 20204430040 is 4003440202.

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, 1017810 + ... + 1037470.

It is an arithmetic number, because the mean of its divisors is an integer number (741896415).

Almost surely, 220204430040 is an apocalyptic number.

20204430040 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 20204430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23740685280).

20204430040 is an abundant number, since it is smaller than the sum of its proper divisors (27276940520).

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

20204430040 is a wasteful number, since it uses less digits than its factorization.

20204430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20812 (or 20808 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 20204430040 its reverse (4003440202), we get a palindrome (24207870242).

The spelling of 20204430040 in words is "twenty billion, two hundred four million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1117 2234 4468 5585 8936 11170 19661 22340 25691 39322 44680 51382 78644 98305 102764 128455 157288 196610 205528 256910 393220 452203 513820 786440 904406 1027640 1808812 2261015 3617624 4522030 9044060 18088120 21961337 43922674 87845348 109806685 175690696 219613370 439226740 505110751 878453480 1010221502 2020443004 2525553755 4040886008 5051107510 10102215020 20204430040