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70013320 = 23513210357
BaseRepresentation
bin1000010110001…
…01000110001000
311212202001012221
410023011012020
5120410411240
610540343424
71510050316
oct413050610
9155661187
1070013320
1136580053
121b544b74
1311674900
1494270b6
15622ea4a
hex42c5188

70013320 has 48 divisors (see below), whose sum is σ = 170596260. Its totient is φ = 25848576.

The previous prime is 70013297. The next prime is 70013329. The reversal of 70013320 is 2331007.

It can be written as a sum of positive squares in 6 ways, for example, as 7064964 + 62948356 = 2658^2 + 7934^2 .

It is a junction number, because it is equal to n+sod(n) for n = 70013294 and 70013303.

It is not an unprimeable number, because it can be changed into a prime (70013329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1582 + ... + 11938.

Almost surely, 270013320 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 70013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85298130).

70013320 is an abundant number, since it is smaller than the sum of its proper divisors (100582940).

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

70013320 is a wasteful number, since it uses less digits than its factorization.

70013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10394 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 70013320 is about 8367.3962497303. The cubic root of 70013320 is about 412.1546690469.

Adding to 70013320 its reverse (2331007), we get a palindrome (72344327).

The spelling of 70013320 in words is "seventy million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 10357 20714 41428 51785 82856 103570 134641 207140 269282 414280 538564 673205 1077128 1346410 1750333 2692820 3500666 5385640 7001332 8751665 14002664 17503330 35006660 70013320