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1061087040 = 26345134767
BaseRepresentation
bin111111001111101…
…110011101000000
32201221121210210000
4333033232131000
54133114241130
6253142440000
735203043136
oct7717563500
92657553700
101061087040
114a4a57442
12257433000
1313baa7b70
14a0ccd756
156324b260
hex3f3ee740

1061087040 has 560 divisors, whose sum is σ = 4213262592. Its totient is φ = 251817984.

The previous prime is 1061087033. The next prime is 1061087059. The reversal of 1061087040 is 407801601.

It is a happy number.

1061087040 is a `hidden beast` number, since 1 + 0 + 610 + 8 + 7 + 0 + 40 = 666.

It is a super-2 number, since 2×10610870402 = 2251811412911923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1061086995 and 1061087013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15837087 + ... + 15837153.

Almost surely, 21061087040 is an apocalyptic number.

1061087040 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 1061087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106631296).

1061087040 is an abundant number, since it is smaller than the sum of its proper divisors (3152175552).

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

1061087040 is a wasteful number, since it uses less digits than its factorization.

1061087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1061087040 is about 32574.3309985025. The cubic root of 1061087040 is about 1019.9612442022.

Adding to 1061087040 its reverse (407801601), we get a palindrome (1468888641).

The spelling of 1061087040 in words is "one billion, sixty-one million, eighty-seven thousand, forty".