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1487013120 = 28335172531
BaseRepresentation
bin101100010100010…
…0000010100000000
310211122002002112000
41120220200110000
511021133404440
6403315504000
751564255135
oct13050402400
93748062460
101487013120
116a341aa6a
12355bb8000
131a90c6028
141016c258c
158a831730
hex58a20500

1487013120 has 288 divisors, whose sum is σ = 5589440640. Its totient is φ = 373063680.

The previous prime is 1487013109. The next prime is 1487013127. The reversal of 1487013120 is 213107841.

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

It is a super-2 number, since 2×14870131202 = 4422416038104268800, 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 not an unprimeable number, because it can be changed into a prime (1487013127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586255 + ... + 588785.

It is an arithmetic number, because the mean of its divisors is an integer number (19407780).

Almost surely, 21487013120 is an apocalyptic number.

1487013120 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 1487013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794720320).

1487013120 is an abundant number, since it is smaller than the sum of its proper divisors (4102427520).

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

1487013120 is a wasteful number, since it uses less digits than its factorization.

1487013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1487013120 is about 38561.8090861930. The cubic root of 1487013120 is about 1141.4010475057.

The spelling of 1487013120 in words is "one billion, four hundred eighty-seven million, thirteen thousand, one hundred twenty".