Search a number
-
+
70024560 = 24352910061
BaseRepresentation
bin1000010110001…
…11110101110000
311212202121122020
410023013311300
5120411241220
610540511440
71510125144
oct413076560
9155677566
1070024560
1136588541
121b54b580
1311679a68
14942b224
156233040
hex42c7d70

70024560 has 80 divisors (see below), whose sum is σ = 224583840. Its totient is φ = 18027520.

The previous prime is 70024553. The next prime is 70024561. The reversal of 70024560 is 6542007.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 70024560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70024561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1930 + ... + 11990.

It is an arithmetic number, because the mean of its divisors is an integer number (2807298).

Almost surely, 270024560 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 70024560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112291920).

70024560 is an abundant number, since it is smaller than the sum of its proper divisors (154559280).

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

70024560 is a wasteful number, since it uses less digits than its factorization.

70024560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 70024560 is about 8368.0678773538. The cubic root of 70024560 is about 412.1767237578.

Adding to 70024560 its reverse (6542007), we get a palindrome (76566567).

The spelling of 70024560 in words is "seventy million, twenty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 10061 20122 30183 40244 50305 60366 80488 100610 120732 150915 160976 201220 241464 291769 301830 402440 482928 583538 603660 804880 875307 1167076 1207320 1458845 1750614 2334152 2414640 2917690 3501228 4376535 4668304 5835380 7002456 8753070 11670760 14004912 17506140 23341520 35012280 70024560