Search a number
-
+
70821072 = 24327210037
BaseRepresentation
bin1000011100010…
…10010011010000
311221021002020200
410032022103100
5121112233242
611005535200
71516653300
oct416122320
9157232220
1070821072
1136a81a13
121b874500
131189847a
149597600
15633e04c
hex438a4d0

70821072 has 90 divisors (see below), whose sum is σ = 230582898. Its totient is φ = 20232576.

The previous prime is 70821029. The next prime is 70821073. The reversal of 70821072 is 27012807.

It can be written as a sum of positive squares in only one way, i.e., 55890576 + 14930496 = 7476^2 + 3864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70821073) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2038 + ... + 12074.

Almost surely, 270821072 is an apocalyptic number.

70821072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70821072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115291449).

70821072 is an abundant number, since it is smaller than the sum of its proper divisors (159761826).

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

70821072 is a wasteful number, since it uses less digits than its factorization.

70821072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 70821072 is about 8415.5256520315. The cubic root of 70821072 is about 413.7336380869.

Adding to 70821072 its reverse (27012807), we get a palindrome (97833879).

The spelling of 70821072 in words is "seventy million, eight hundred twenty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 10037 20074 30111 40148 60222 70259 80296 90333 120444 140518 160592 180666 210777 240888 281036 361332 421554 481776 491813 562072 632331 722664 843108 983626 1124144 1264662 1445328 1475439 1686216 1967252 2529324 2950878 3372432 3934504 4426317 5058648 5901756 7869008 8852634 10117296 11803512 17705268 23607024 35410536 70821072