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1240630080 = 263517194001
BaseRepresentation
bin100100111110010…
…1000001101000000
310012110110112112020
41021330220031000
510020100130310
6323035001440
742513116214
oct11174501500
93173415466
101240630080
11587337818
122a7599280
1316a04ba51
14baaa8944
1573db4170
hex49f28340

1240630080 has 224 divisors, whose sum is σ = 4391314560. Its totient is φ = 294912000.

The previous prime is 1240630057. The next prime is 1240630087. The reversal of 1240630080 is 800360421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1240630080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240630087) 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, 308080 + ... + 312080.

Almost surely, 21240630080 is an apocalyptic number.

1240630080 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 1240630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195657280).

1240630080 is an abundant number, since it is smaller than the sum of its proper divisors (3150684480).

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

1240630080 is a wasteful number, since it uses less digits than its factorization.

1240630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1240630080 is about 35222.5791219212. The cubic root of 1240630080 is about 1074.5190074621.

It can be divided in two parts, 12406 and 30080, that added together give a triangular number (42486 = T291).

The spelling of 1240630080 in words is "one billion, two hundred forty million, six hundred thirty thousand, eighty".