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4124203400 = 235217271353
BaseRepresentation
bin1111010111010010…
…0101100110001000
3101122102102020111002
43311310211212020
531421244002100
61521123554132
7204126102422
oct36564454610
911572366432
104124203400
111827007069
1297122b948
1350958a955
142b1a45812
1519210b2d5
hexf5d25988

4124203400 has 72 divisors (see below), whose sum is σ = 10186140270. Its totient is φ = 1552619520.

The previous prime is 4124203379. The next prime is 4124203429. The reversal of 4124203400 is 43024214.

4124203400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 2566638244 + 1557565156 = 50662^2 + 39466^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22124 + ... + 93476.

Almost surely, 24124203400 is an apocalyptic number.

4124203400 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 4124203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093070135).

4124203400 is an abundant number, since it is smaller than the sum of its proper divisors (6061936870).

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

4124203400 is a wasteful number, since it uses less digits than its factorization.

4124203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71403 (or 71377 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4124203400 is about 64219.9610713055. The cubic root of 4124203400 is about 1603.6639211053.

Adding to 4124203400 its reverse (43024214), we get a palindrome (4167227614).

The spelling of 4124203400 in words is "four billion, one hundred twenty-four million, two hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 289 340 425 578 680 850 1156 1445 1700 2312 2890 3400 5780 7225 11560 14450 28900 57800 71353 142706 285412 356765 570824 713530 1213001 1427060 1783825 2426002 2854120 3567650 4852004 6065005 7135300 9704008 12130010 14270600 20621017 24260020 30325025 41242034 48520040 60650050 82484068 103105085 121300100 164968136 206210170 242600200 412420340 515525425 824840680 1031050850 2062101700 4124203400