Search a number
-
+
1061065740 = 223576433929
BaseRepresentation
bin111111001111101…
…001010000001100
32201221120201120010
4333033221100030
54133113100430
6253142153220
735202624060
oct7717512014
92657521503
101061065740
114a4a42439
12257422810
1313ba9b267
14a0cc5aa0
1563244cb0
hex3f3e940c

1061065740 has 96 divisors (see below), whose sum is σ = 3401556480. Its totient is φ = 242090496.

The previous prime is 1061065699. The next prime is 1061065751. The reversal of 1061065740 is 475601601.

It is a super-2 number, since 2×10610657402 = 2251721009203495200, 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 = 1061065698 and 1061065707.

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, 268096 + ... + 272024.

It is an arithmetic number, because the mean of its divisors is an integer number (35432880).

Almost surely, 21061065740 is an apocalyptic number.

1061065740 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 1061065740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700778240).

1061065740 is an abundant number, since it is smaller than the sum of its proper divisors (2340490740).

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

1061065740 is a wasteful number, since it uses less digits than its factorization.

1061065740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1061065740 is about 32574.0040523114. The cubic root of 1061065740 is about 1019.9544193396.

The spelling of 1061065740 in words is "one billion, sixty-one million, sixty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 643 1286 1929 2572 3215 3858 3929 4501 6430 7716 7858 9002 9645 11787 12860 13503 15716 18004 19290 19645 22505 23574 27006 27503 38580 39290 45010 47148 54012 55006 58935 67515 78580 82509 90020 110012 117870 135030 137515 165018 235740 270060 275030 330036 412545 550060 825090 1650180 2526347 5052694 7579041 10105388 12631735 15158082 17684429 25263470 30316164 35368858 37895205 50526940 53053287 70737716 75790410 88422145 106106574 151580820 176844290 212213148 265266435 353688580 530532870 1061065740