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1997274240 = 273351317523
BaseRepresentation
bin111011100001011…
…1111110010000000
312011012020001012000
41313002333302000
513042300233430
6530104304000
7100331356653
oct16702776200
95135201160
101997274240
11935455775
12478a72000
1325aa317a0
1414d38989a
15ba524e60
hex770bfc80

1997274240 has 512 divisors, whose sum is σ = 8081337600. Its totient is φ = 461832192.

The previous prime is 1997274239. The next prime is 1997274241. The reversal of 1997274240 is 424727991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1997274239) and next prime (1997274241).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1997274241) 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, 3818619 + ... + 3819141.

Almost surely, 21997274240 is an apocalyptic number.

1997274240 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 1997274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040668800).

1997274240 is an abundant number, since it is smaller than the sum of its proper divisors (6084063360).

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

1997274240 is a wasteful number, since it uses less digits than its factorization.

1997274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1997274240 is about 44690.8742362465. The cubic root of 1997274240 is about 1259.3484159387.

The spelling of 1997274240 in words is "one billion, nine hundred ninety-seven million, two hundred seventy-four thousand, two hundred forty".