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1497146112 = 28337112997
BaseRepresentation
bin101100100111100…
…1010001100000000
310212100010220101000
41121033022030000
511031232133422
6404321012000
752046350320
oct13117121400
93770126330
101497146112
116a9111040
12359484000
131ab233297
14102b9d280
158b683cac
hex593ca300

1497146112 has 576 divisors, whose sum is σ = 5768985600. Its totient is φ = 371589120.

The previous prime is 1497146087. The next prime is 1497146113. The reversal of 1497146112 is 2116417941.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1497146113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15434448 + ... + 15434544.

It is an arithmetic number, because the mean of its divisors is an integer number (10015600).

Almost surely, 21497146112 is an apocalyptic number.

1497146112 is a gapful number since it is divisible by the number (12) 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 1497146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884492800).

1497146112 is an abundant number, since it is smaller than the sum of its proper divisors (4271839488).

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

1497146112 is a wasteful number, since it uses less digits than its factorization.

1497146112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1497146112 is about 38692.9723851761. The cubic root of 1497146112 is about 1143.9878069348.

The spelling of 1497146112 in words is "one billion, four hundred ninety-seven million, one hundred forty-six thousand, one hundred twelve".