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70145460 = 223357211241
BaseRepresentation
bin1000010111001…
…01010110110100
311212222202111000
410023211112310
5120424123320
610543243300
71511140500
oct413452664
9155882430
1070145460
1136660360
121b5a9530
13116bcab8
14945d300
156258c90
hex42e55b4

70145460 has 288 divisors, whose sum is σ = 278087040. Its totient is φ = 14515200.

The previous prime is 70145441. The next prime is 70145477. The reversal of 70145460 is 6454107.

It is a super-2 number, since 2×701454602 = 9840771117223200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290940 + ... + 291180.

It is an arithmetic number, because the mean of its divisors is an integer number (965580).

Almost surely, 270145460 is an apocalyptic number.

70145460 is a gapful number since it is divisible by the number (70) 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 70145460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139043520).

70145460 is an abundant number, since it is smaller than the sum of its proper divisors (207941580).

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

70145460 is a wasteful number, since it uses less digits than its factorization.

70145460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 70145460 is about 8375.2886517421. The cubic root of 70145460 is about 412.4138001700.

Adding to 70145460 its reverse (6454107), we get a palindrome (76599567).

It can be divided in two parts, 70 and 145460, that added together give a triangular number (145530 = T539).

The spelling of 70145460 in words is "seventy million, one hundred forty-five thousand, four hundred sixty".