Search a number
-
+
20150143400 = 2352277557653
BaseRepresentation
bin10010110001000010…
…101100100110101000
31221000022001100021102
4102301002230212220
5312231414042100
613131251300532
71312224251522
oct226102544650
957008040242
1020150143400
118600259a82
123aa42aa748
131b91826b9a
14d9220aa12
157ce027cd5
hex4b10ac9a8

20150143400 has 96 divisors (see below), whose sum is σ = 47174759640. Its totient is φ = 8004264960.

The previous prime is 20150143381. The next prime is 20150143411. The reversal of 20150143400 is 434105102.

It can be written as a sum of positive squares in 12 ways, for example, as 1888945444 + 18261197956 = 43462^2 + 135134^2 .

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 23 ways as a sum of consecutive naturals, for example, 30857474 + ... + 30858126.

Almost surely, 220150143400 is an apocalyptic number.

20150143400 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 20150143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587379820).

20150143400 is an abundant number, since it is smaller than the sum of its proper divisors (27024616240).

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

20150143400 is a wasteful number, since it uses less digits than its factorization.

20150143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 20150143400 its reverse (434105102), we get a palindrome (20584248502).

The spelling of 20150143400 in words is "twenty billion, one hundred fifty million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 277 554 557 653 1108 1114 1306 1385 2216 2228 2612 2770 2785 3265 4456 5224 5540 5570 6530 6925 11080 11140 13060 13850 13925 16325 22280 26120 27700 27850 32650 55400 55700 65300 111400 130600 154289 180881 308578 361762 363721 617156 723524 727442 771445 904405 1234312 1447048 1454884 1542890 1808810 1818605 2909768 3085780 3617620 3637210 3857225 4522025 6171560 7235240 7274420 7714450 9044050 9093025 14548840 15428900 18088100 18186050 30857800 36176200 36372100 72744200 100750717 201501434 403002868 503753585 806005736 1007507170 2015014340 2518767925 4030028680 5037535850 10075071700 20150143400