Search a number
-
+
70103840 = 255974517
BaseRepresentation
bin1000010110110…
…11001100100000
311212220122101112
410023123030200
5120421310330
610542322452
71510605242
oct413331440
9155818345
1070103840
1136632064
121b589428
13116a6b81
14944c092
15624b795
hex42db320

70103840 has 48 divisors (see below), whose sum is σ = 167364792. Its totient is φ = 27746304.

The previous prime is 70103819. The next prime is 70103843. The reversal of 70103840 is 4830107.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30514576 + 39589264 = 5524^2 + 6292^2 .

It is not an unprimeable number, because it can be changed into a prime (70103843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13262 + ... + 17778.

Almost surely, 270103840 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 70103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83682396).

70103840 is an abundant number, since it is smaller than the sum of its proper divisors (97260952).

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

70103840 is a wasteful number, since it uses less digits than its factorization.

70103840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 70103840 is about 8372.8035925847. The cubic root of 70103840 is about 412.3322170411.

Adding to 70103840 its reverse (4830107), we get a palindrome (74933947).

The spelling of 70103840 in words is "seventy million, one hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3104 3880 4517 7760 9034 15520 18068 22585 36136 45170 72272 90340 144544 180680 361360 438149 722720 876298 1752596 2190745 3505192 4381490 7010384 8762980 14020768 17525960 35051920 70103840