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1097000640 = 263252316561
BaseRepresentation
bin100000101100010…
…1110011011000000
32211110012101222100
41001120232123000
54221313010030
6300504310400
736120231411
oct10130563300
92743171870
101097000640
115132568aa
12267472400
13146370708
14a599b808
1566492360
hex4162e6c0

1097000640 has 168 divisors, whose sum is σ = 3937516128. Its totient is φ = 279797760.

The previous prime is 1097000609. The next prime is 1097000647. The reversal of 1097000640 is 460007901.

1097000640 is a `hidden beast` number, since 10 + 9 + 7 + 0 + 0 + 0 + 640 = 666.

It is a Cunningham number, because it is equal to 331212-1.

It is not an unprimeable number, because it can be changed into a prime (1097000647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57960 + ... + 74520.

It is an arithmetic number, because the mean of its divisors is an integer number (23437596).

Almost surely, 21097000640 is an apocalyptic number.

1097000640 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 1097000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968758064).

1097000640 is an abundant number, since it is smaller than the sum of its proper divisors (2840515488).

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

1097000640 is a wasteful number, since it uses less digits than its factorization.

1097000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16607 (or 16594 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1097000640 is about 33120.9999849038. Note that the first 4 decimals coincide. The cubic root of 1097000640 is about 1031.3410251333.

The spelling of 1097000640 in words is "one billion, ninety-seven million, six hundred forty", and thus it is an aban number.