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1470072240 = 24365713277
BaseRepresentation
bin101011110011111…
…1000010110110000
310210110012102000000
41113213320112300
511002314302430
6401512430000
751300256620
oct12747702660
93713172000
101470072240
116948aa03a
123503a8300
131a5744140
14dd352880
15890d6e60
hex579f85b0

1470072240 has 560 divisors, whose sum is σ = 6329886528. Its totient is φ = 309049344.

The previous prime is 1470072239. The next prime is 1470072269. The reversal of 1470072240 is 422700741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×14700722402 = 4322224781637235200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5306982 + ... + 5307258.

Almost surely, 21470072240 is an apocalyptic number.

1470072240 is a gapful number since it is divisible by the number (10) 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 1470072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164943264).

1470072240 is an abundant number, since it is smaller than the sum of its proper divisors (4859814288).

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

1470072240 is a wasteful number, since it uses less digits than its factorization.

1470072240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 1470072240 is about 38341.5210965867. The cubic root of 1470072240 is about 1137.0499904921.

Adding to 1470072240 its reverse (422700741), we get a palindrome (1892772981).

The spelling of 1470072240 in words is "one billion, four hundred seventy million, seventy-two thousand, two hundred forty".