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1006247424 = 29371323313
BaseRepresentation
bin111011111110100…
…001111000000000
32121010102122222010
4323332201320000
54030044404144
6243503212520
733635650650
oct7376417000
92533378863
101006247424
11477000646
12240ba7140
131306169a0
14978d6360
155d5175b9
hex3bfa1e00

1006247424 has 320 divisors, whose sum is σ = 3453778944. Its totient is φ = 253034496.

The previous prime is 1006247377. The next prime is 1006247471. The reversal of 1006247424 is 4247426001.

1006247424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1006247377) and next prime (1006247471).

It is a junction number, because it is equal to n+sod(n) for n = 1006247391 and 1006247400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3214692 + ... + 3215004.

Almost surely, 21006247424 is an apocalyptic number.

1006247424 is a gapful number since it is divisible by the number (14) 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 1006247424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726889472).

1006247424 is an abundant number, since it is smaller than the sum of its proper divisors (2447531520).

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

1006247424 is a wasteful number, since it uses less digits than its factorization.

1006247424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 1006247424 is about 31721.4032476497. The cubic root of 1006247424 is about 1002.0781529553.

The spelling of 1006247424 in words is "one billion, six million, two hundred forty-seven thousand, four hundred twenty-four".