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1007074038 = 23253966107
BaseRepresentation
bin111100000001101…
…011101011110110
32121011222122212110
4330001223223312
54030302332123
6243533031450
733645662625
oct7401535366
92534878773
101007074038
114775156a3
12241325586
13130845cc9
1497a6d6bc
155d62c493
hex3c06baf6

1007074038 has 16 divisors (see below), whose sum is σ = 2014971840. Its totient is φ = 335554056.

The previous prime is 1007074037. The next prime is 1007074063. The reversal of 1007074038 is 8304707001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1007073996 and 1007074014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007074037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17820 + ... + 48287.

It is an arithmetic number, because the mean of its divisors is an integer number (125935740).

Almost surely, 21007074038 is an apocalyptic number.

1007074038 is an abundant number, since it is smaller than the sum of its proper divisors (1007897802).

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

1007074038 is a wasteful number, since it uses less digits than its factorization.

1007074038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68651.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 1007074038 is about 31734.4298515036. The cubic root of 1007074038 is about 1002.3524741922.

The spelling of 1007074038 in words is "one billion, seven million, seventy-four thousand, thirty-eight".

Divisors: 1 2 3 6 2539 5078 7617 15234 66107 132214 198321 396642 167845673 335691346 503537019 1007074038