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1061010720 = 2532572111367
BaseRepresentation
bin111111001111011…
…011110100100000
32201221110221002100
4333033123310200
54133104320340
6253141050400
735202304500
oct7717336440
92657427070
101061010720
114a4a05070
122573b6a00
1313ba7c1c3
14a0cada00
1563233830
hex3f3dbd20

1061010720 has 432 divisors, whose sum is σ = 4598088768. Its totient is φ = 220308480.

The previous prime is 1061010697. The next prime is 1061010737. The reversal of 1061010720 is 270101601.

It is a super-2 number, since 2×10610107202 = 2251487495909836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1061010693 and 1061010702.

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, 775477 + ... + 776843.

It is an arithmetic number, because the mean of its divisors is an integer number (10643724).

Almost surely, 21061010720 is an apocalyptic number.

1061010720 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 1061010720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299044384).

1061010720 is an abundant number, since it is smaller than the sum of its proper divisors (3537078048).

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

1061010720 is a wasteful number, since it uses less digits than its factorization.

1061010720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1061010720 is about 32573.1595028791. The cubic root of 1061010720 is about 1019.9367896238.

The spelling of 1061010720 in words is "one billion, sixty-one million, ten thousand, seven hundred twenty".