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1071064540 = 2257213229223
BaseRepresentation
bin111111110101110…
…010010111011100
32202122101201100001
4333311302113130
54143143031130
6254140344044
735353620100
oct7765622734
92678351301
101071064540
114aa651707
1225a845024
13140b8c400
14a2369900
156406c6ca
hex3fd725dc

1071064540 has 216 divisors, whose sum is σ = 2944045440. Its totient is φ = 325817856.

The previous prime is 1071064531. The next prime is 1071064571. The reversal of 1071064540 is 454601701.

It is a super-2 number, since 2×10710645402 = 2294358497690823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1071064499 and 1071064508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4802869 + ... + 4803091.

It is an arithmetic number, because the mean of its divisors is an integer number (13629840).

Almost surely, 21071064540 is an apocalyptic number.

1071064540 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 1071064540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472022720).

1071064540 is an abundant number, since it is smaller than the sum of its proper divisors (1872980900).

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

1071064540 is a wasteful number, since it uses less digits than its factorization.

1071064540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1071064540 is about 32727.1223910688. The cubic root of 1071064540 is about 1023.1482059857.

The spelling of 1071064540 in words is "one billion, seventy-one million, sixty-four thousand, five hundred forty".