Search a number
-
+
70506324 = 22327535279
BaseRepresentation
bin1000011001111…
…01011101010100
311220200002111100
410030331131110
5121022200244
610555110100
71514202540
oct414753524
9156602440
1070506324
1136887499
121b742330
13117b8125
149514a20
1562cab69
hex433d754

70506324 has 72 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 19760832.

The previous prime is 70506277. The next prime is 70506329. The reversal of 70506324 is 42360507.

It is a happy number.

It is a super-2 number, since 2×705063242 = 9942283447985952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70506329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10717 + ... + 15995.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 270506324 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 70506324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

70506324 is an abundant number, since it is smaller than the sum of its proper divisors (137061036).

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

70506324 is a wasteful number, since it uses less digits than its factorization.

70506324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 70506324 is about 8396.8043921482. The cubic root of 70506324 is about 413.1198131200.

The spelling of 70506324 in words is "seventy million, five hundred six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 5279 6678 10558 13356 15837 21116 31674 36953 47511 63348 73906 95022 110859 147812 190044 221718 279787 332577 443436 559574 665154 839361 1119148 1330308 1678722 1958509 2518083 3357444 3917018 5036166 5875527 7834036 10072332 11751054 17626581 23502108 35253162 70506324