Search a number
-
+
70287840 = 25325719367
BaseRepresentation
bin1000011000010…
…00000111100000
311220020222210100
410030020013200
5120443202330
610550302400
71512302550
oct414100740
9156228710
1070287840
1136748327
121b657a00
131173c84c
149499160
156286060
hex43081e0

70287840 has 288 divisors, whose sum is σ = 289336320. Its totient is φ = 15178752.

The previous prime is 70287823. The next prime is 70287853. The reversal of 70287840 is 4878207.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 70287795 and 70287804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191337 + ... + 191703.

It is an arithmetic number, because the mean of its divisors is an integer number (1004640).

Almost surely, 270287840 is an apocalyptic number.

70287840 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 70287840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144668160).

70287840 is an abundant number, since it is smaller than the sum of its proper divisors (219048480).

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

70287840 is a wasteful number, since it uses less digits than its factorization.

70287840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 70287840 is about 8383.7843483716. The cubic root of 70287840 is about 412.6926483062.

The spelling of 70287840 in words is "seventy million, two hundred eighty-seven thousand, eight hundred forty".