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6930072 = 2332293319
BaseRepresentation
bin11010011011111010011000
3111001002021100
4122123322120
53233230242
6404311400
7112622202
oct32337230
914032240
106930072
113a03736
1223a2560
131588446
14cc5772
1591d54c
hex69be98

6930072 has 48 divisors (see below), whose sum is σ = 19422000. Its totient is φ = 2229696.

The previous prime is 6930071. The next prime is 6930073. The reversal of 6930072 is 2700396.

It is an interprime number because it is at equal distance from previous prime (6930071) and next prime (6930073).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6930071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429 + ... + 3747.

It is an arithmetic number, because the mean of its divisors is an integer number (404625).

Almost surely, 26930072 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 6930072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9711000).

6930072 is an abundant number, since it is smaller than the sum of its proper divisors (12491928).

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

6930072 is a wasteful number, since it uses less digits than its factorization.

6930072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 6930072 is about 2632.5029914513. The cubic root of 6930072 is about 190.6539974520.

The spelling of 6930072 in words is "six million, nine hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 3319 6638 9957 13276 19914 26552 29871 39828 59742 79656 96251 119484 192502 238968 288753 385004 577506 770008 866259 1155012 1732518 2310024 3465036 6930072