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1247714040 = 23351931127139
BaseRepresentation
bin100101001011110…
…1001101011111000
310012221210102220010
41022113221223320
510023403322130
6323450501520
742630252156
oct11227515370
93187712803
101247714040
11590336031
122a9a348a0
1316b65c241
14bb9d03d6
15748130b0
hex4a5e9af8

1247714040 has 256 divisors, whose sum is σ = 4128768000. Its totient is φ = 300464640.

The previous prime is 1247714033. The next prime is 1247714093. The reversal of 1247714040 is 404177421.

It is a super-2 number, since 2×12477140402 = 3113580651226243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1247713989 and 1247714007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8976291 + ... + 8976429.

It is an arithmetic number, because the mean of its divisors is an integer number (16128000).

Almost surely, 21247714040 is an apocalyptic number.

1247714040 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 1247714040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064384000).

1247714040 is an abundant number, since it is smaller than the sum of its proper divisors (2881053960).

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

1247714040 is a wasteful number, since it uses less digits than its factorization.

1247714040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 1247714040 is about 35322.9959091808. The cubic root of 1247714040 is about 1076.5602841125.

The spelling of 1247714040 in words is "one billion, two hundred forty-seven million, seven hundred fourteen thousand, forty".