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70145424 = 2432411092
BaseRepresentation
bin1000010111001…
…01010110010000
311212222202102200
410023211112100
5120424123144
610543243200
71511140416
oct413452620
9155882380
1070145424
1136660328
121b5a9500
13116bca8b
14945d2b6
156258c69
hex42e5590

70145424 has 90 divisors (see below), whose sum is σ = 202959666. Its totient is φ = 22602240.

The previous prime is 70145407. The next prime is 70145429. The reversal of 70145424 is 42454107.

It can be written as a sum of positive squares in 3 ways, for example, as 6656400 + 63489024 = 2580^2 + 7968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70145429) 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 17 ways as a sum of consecutive naturals, for example, 643482 + ... + 643590.

Almost surely, 270145424 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 70145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101479833).

70145424 is an abundant number, since it is smaller than the sum of its proper divisors (132814242).

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

70145424 is a wasteful number, since it uses less digits than its factorization.

70145424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 70145424 is about 8375.2865025622. The cubic root of 70145424 is about 412.4137296170.

The spelling of 70145424 in words is "seventy million, one hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 109 123 144 164 218 246 327 328 369 436 492 654 656 738 872 981 984 1308 1476 1744 1962 1968 2616 2952 3924 4469 5232 5904 7848 8938 11881 13407 15696 17876 23762 26814 35643 35752 40221 47524 53628 71286 71504 80442 95048 106929 107256 142572 160884 190096 213858 214512 285144 321768 427716 487121 570288 643536 855432 974242 1461363 1710864 1948484 2922726 3896968 4384089 5845452 7793936 8768178 11690904 17536356 23381808 35072712 70145424