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1242297000 = 23345372313
BaseRepresentation
bin100101000001011…
…1111001010101000
310012120121020010000
41022002333022220
510021012001000
6323134423000
742533231100
oct11202771250
93176536100
101242297000
1158827613a
122a8061a60
1316a4b36a9
14badc0200
15740e3000
hex4a0bf2a8

1242297000 has 480 divisors, whose sum is σ = 5067639720. Its totient is φ = 283046400.

The previous prime is 1242296987. The next prime is 1242297013. The reversal of 1242297000 is 7922421.

It is an interprime number because it is at equal distance from previous prime (1242296987) and next prime (1242297013).

It can be written as a sum of positive squares in 4 ways, for example, as 59074596 + 1183222404 = 7686^2 + 34398^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3968844 + ... + 3969156.

Almost surely, 21242297000 is an apocalyptic number.

1242297000 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 1242297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533819860).

1242297000 is an abundant number, since it is smaller than the sum of its proper divisors (3825342720).

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

1242297000 is a wasteful number, since it uses less digits than its factorization.

1242297000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1242297000 is about 35246.2338413624. The cubic root of 1242297000 is about 1075.0000360555. Note that the first 4 decimals are identical.

The spelling of 1242297000 in words is "one billion, two hundred forty-two million, two hundred ninety-seven thousand".