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20120043400 = 23522919717609
BaseRepresentation
bin10010101111001111…
…110111111110001000
31220221012102002211121
4102233033313332020
5312201212342100
613124254205024
71311410355442
oct225717677610
956835362747
1020120043400
118595270446
123a961b3774
131b88518532
14d8c213492
157cb57e51a
hex4af3f7f88

20120043400 has 96 divisors (see below), whose sum is σ = 48640581000. Its totient is φ = 7730616320.

The previous prime is 20120043389. The next prime is 20120043413. The reversal of 20120043400 is 434002102.

It can be written as a sum of positive squares in 12 ways, for example, as 8552180484 + 11567862916 = 92478^2 + 107554^2 .

It is a super-2 number, since 2×201200434002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1133796 + ... + 1151404.

Almost surely, 220120043400 is an apocalyptic number.

20120043400 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 20120043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24320290500).

20120043400 is an abundant number, since it is smaller than the sum of its proper divisors (28520537600).

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

20120043400 is a wasteful number, since it uses less digits than its factorization.

20120043400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17851 (or 17842 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20120043400 its reverse (434002102), we get a palindrome (20554045502).

The spelling of 20120043400 in words is "twenty billion, one hundred twenty million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 197 200 232 290 394 580 725 788 985 1160 1450 1576 1970 2900 3940 4925 5713 5800 7880 9850 11426 17609 19700 22852 28565 35218 39400 45704 57130 70436 88045 114260 140872 142825 176090 228520 285650 352180 440225 510661 571300 704360 880450 1021322 1142600 1760900 2042644 2553305 3468973 3521800 4085288 5106610 6937946 10213220 12766525 13875892 17344865 20426440 25533050 27751784 34689730 51066100 69379460 86724325 100600217 102132200 138758920 173448650 201200434 346897300 402400868 503001085 693794600 804801736 1006002170 2012004340 2515005425 4024008680 5030010850 10060021700 20120043400