Search a number
-
+
3135535000 = 23541348239
BaseRepresentation
bin1011101011100100…
…0111011110011000
322002112001200101221
42322321013132120
522410144110000
61235045221424
7140462415313
oct27271073630
98075050357
103135535000
111369a22944
12736101874
133ac7ba470
1421a60797a
1513541761a
hexbae47798

3135535000 has 80 divisors (see below), whose sum is σ = 7911842400. Its totient is φ = 1157712000.

The previous prime is 3135534989. The next prime is 3135535027. The reversal of 3135535000 is 5355313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40881 + ... + 89119.

It is an arithmetic number, because the mean of its divisors is an integer number (98898030).

Almost surely, 23135535000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955921200).

3135535000 is an abundant number, since it is smaller than the sum of its proper divisors (4776307400).

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

3135535000 is a wasteful number, since it uses less digits than its factorization.

3135535000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48278 (or 48259 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 25.

The square root of 3135535000 is about 55995.8480603696. The cubic root of 3135535000 is about 1463.6499344656.

The spelling of 3135535000 in words is "three billion, one hundred thirty-five million, five hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 2500 2600 3250 5000 6500 8125 13000 16250 32500 48239 65000 96478 192956 241195 385912 482390 627107 964780 1205975 1254214 1929560 2411950 2508428 3135535 4823900 5016856 6029875 6271070 9647800 12059750 12542140 15677675 24119500 25084280 30149375 31355350 48239000 60298750 62710700 78388375 120597500 125421400 156776750 241195000 313553500 391941875 627107000 783883750 1567767500 3135535000