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1071934864 = 24711131731127
BaseRepresentation
bin111111111001000…
…110110110010000
32202201000221012021
4333321012312100
54143403403424
6254211141224
735364203350
oct7771066620
92681027167
101071934864
11500096590
1225aba4814
131411055b0
14a2514b60
15641904e4
hex3fe46d90

1071934864 has 320 divisors, whose sum is σ = 3071803392. Its totient is φ = 348364800.

The previous prime is 1071934861. The next prime is 1071934891. The reversal of 1071934864 is 4684391701.

It is a super-2 number, since 2×10719348642 = 2298088705317396992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1071934864.

It is not an unprimeable number, because it can be changed into a prime (1071934861) 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 63 ways as a sum of consecutive naturals, for example, 8440369 + ... + 8440495.

Almost surely, 21071934864 is an apocalyptic number.

1071934864 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 1071934864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535901696).

1071934864 is an abundant number, since it is smaller than the sum of its proper divisors (1999868528).

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

1071934864 is a wasteful number, since it uses less digits than its factorization.

1071934864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 1071934864 is about 32740.4163687635. The cubic root of 1071934864 is about 1023.4252603625.

The spelling of 1071934864 in words is "one billion, seventy-one million, nine hundred thirty-four thousand, eight hundred sixty-four".