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70545312 = 2532397617
BaseRepresentation
bin1000011010001…
…10111110100000
311220202001222100
410031012332200
5121024422222
611000010400
71514424315
oct415067640
9156661870
1070545312
1136903812
121b760a00
13117ccab6
149524d0c
1562d74ac
hex4346fa0

70545312 has 72 divisors (see below), whose sum is σ = 201444516. Its totient is φ = 23417856.

The previous prime is 70545289. The next prime is 70545323. The reversal of 70545312 is 21354507.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67174416 + 3370896 = 8196^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114028 + ... + 114644.

Almost surely, 270545312 is an apocalyptic number.

70545312 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 70545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100722258).

70545312 is an abundant number, since it is smaller than the sum of its proper divisors (130899204).

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

70545312 is a wasteful number, since it uses less digits than its factorization.

70545312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 70545312 is about 8399.1256687824. The cubic root of 70545312 is about 413.1959469400.

Adding to 70545312 its reverse (21354507), we get a palindrome (91899819).

The spelling of 70545312 in words is "seventy million, five hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 397 617 794 1191 1234 1588 1851 2382 2468 3176 3573 3702 4764 4936 5553 6352 7146 7404 9528 9872 11106 12704 14292 14808 19056 19744 22212 28584 29616 38112 44424 57168 59232 88848 114336 177696 244949 489898 734847 979796 1469694 1959592 2204541 2939388 3919184 4409082 5878776 7838368 8818164 11757552 17636328 23515104 35272656 70545312