Search a number
-
+
4700015040 = 263572347647
BaseRepresentation
bin1000110000010010…
…01000100111000000
3110010112220111120010
410120021020213000
534111200440130
62054213344520
7224320316520
oct43011104700
913115814503
104700015040
111aa2043956
12ab2038140
1359b9678b6
143282d3680
151c794c0b0
hex1182489c0

4700015040 has 448 divisors, whose sum is σ = 18202558464. Its totient is φ = 1004163072.

The previous prime is 4700015003. The next prime is 4700015069. The reversal of 4700015040 is 405100074.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4700014998 and 4700015016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7263997 + ... + 7264643.

Almost surely, 24700015040 is an apocalyptic number.

4700015040 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 4700015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9101279232).

4700015040 is an abundant number, since it is smaller than the sum of its proper divisors (13502543424).

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

4700015040 is a wasteful number, since it uses less digits than its factorization.

4700015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 4700015040 is about 68556.6556943963. The cubic root of 4700015040 is about 1675.0704703403.

The spelling of 4700015040 in words is "four billion, seven hundred million, fifteen thousand, forty".