Search a number
-
+
7428672006 = 237318155603
BaseRepresentation
bin1101110101100100…
…01000101000000110
3201011201100122020020
412322302020220012
5110203220001011
63225050120010
7352042445610
oct67262105006
921151318206
107428672006
113172323258
121533a20006
13915075c12
14506865db0
152d7293006
hex1bac88a06

7428672006 has 32 divisors (see below), whose sum is σ = 16985465088. Its totient is φ = 2121772320.

The previous prime is 7428671941. The next prime is 7428672007. The reversal of 7428672006 is 6002768247.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7428672007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105801 + ... + 161403.

It is an arithmetic number, because the mean of its divisors is an integer number (530795784).

Almost surely, 27428672006 is an apocalyptic number.

7428672006 is an abundant number, since it is smaller than the sum of its proper divisors (9556793082).

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

7428672006 is a wasteful number, since it uses less digits than its factorization.

7428672006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58796.

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 7428672006 is about 86189.7442042845. The cubic root of 7428672006 is about 1951.2087185957.

The spelling of 7428672006 in words is "seven billion, four hundred twenty-eight million, six hundred seventy-two thousand, six".

Divisors: 1 2 3 6 7 14 21 42 3181 6362 9543 19086 22267 44534 55603 66801 111206 133602 166809 333618 389221 778442 1167663 2335326 176873143 353746286 530619429 1061238858 1238112001 2476224002 3714336003 7428672006