Search a number
-
+
70045696 = 21272349
BaseRepresentation
bin1000010110011…
…01000000000000
311212210200122001
410023031000000
5120412430241
610541153344
71510243600
oct413150000
9155720561
1070045696
11365a2406
121b55b854
1311686576
149434c00
156239431
hex42cd000

70045696 has 78 divisors (see below), whose sum is σ = 163410450. Its totient is φ = 29933568.

The previous prime is 70045693. The next prime is 70045739. The reversal of 70045696 is 69654007.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 5017600 = 8064^2 + 2240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70045691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200530 + ... + 200878.

Almost surely, 270045696 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 70045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81705225).

70045696 is an abundant number, since it is smaller than the sum of its proper divisors (93364754).

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

70045696 is an equidigital number, since it uses as much as digits as its factorization.

70045696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 70045696 is about 8369.3306781367. The cubic root of 70045696 is about 412.2181896419.

The spelling of 70045696 in words is "seventy million, forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 349 392 448 512 698 784 896 1024 1396 1568 1792 2048 2443 2792 3136 3584 4096 4886 5584 6272 7168 9772 11168 12544 14336 17101 19544 22336 25088 28672 34202 39088 44672 50176 68404 78176 89344 100352 136808 156352 178688 200704 273616 312704 357376 547232 625408 714752 1094464 1250816 1429504 2188928 2501632 4377856 5003264 8755712 10006528 17511424 35022848 70045696