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70130448 = 2434531021
BaseRepresentation
bin1000010111000…
…01101100010000
311212221222220000
410023201230100
5120423133243
610543050000
71511045643
oct413415420
9155858800
1070130448
1136650053
121b5a0900
13116b600b
149457a5a
1562545d3
hex42e1b10

70130448 has 100 divisors (see below), whose sum is σ = 207010188. Its totient is φ = 22913280.

The previous prime is 70130413. The next prime is 70130449. The reversal of 70130448 is 84403107.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 24324624 = 6768^2 + 4932^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70130449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68178 + ... + 69198.

Almost surely, 270130448 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 70130448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103505094).

70130448 is an abundant number, since it is smaller than the sum of its proper divisors (136879740).

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

70130448 is a wasteful number, since it uses less digits than its factorization.

70130448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 70130448 is about 8374.3923958697. The cubic root of 70130448 is about 412.3843775118.

The spelling of 70130448 in words is "seventy million, one hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1021 1272 1296 1431 1908 2042 2544 2862 3063 3816 4084 4293 5724 6126 7632 8168 8586 9189 11448 12252 16336 17172 18378 22896 24504 27567 34344 36756 49008 54113 55134 68688 73512 82701 108226 110268 147024 162339 165402 216452 220536 324678 330804 432904 441072 487017 649356 661608 865808 974034 1298712 1323216 1461051 1948068 2597424 2922102 3896136 4383153 5844204 7792272 8766306 11688408 17532612 23376816 35065224 70130448