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1030761616 = 24297013169
BaseRepresentation
bin111101011100000…
…010110010010000
32122211120010010011
4331130002302100
54102333332431
6250140444304
734354220623
oct7534026220
92584503104
101030761616
11489924505
12249249694
1313571aa21
149ac77dba
156075acb1
hex3d702c90

1030761616 has 40 divisors (see below), whose sum is σ = 2069566200. Its totient is φ = 496742400.

The previous prime is 1030761601. The next prime is 1030761617. The reversal of 1030761616 is 6161670301.

It can be written as a sum of positive squares in 4 ways, for example, as 515471616 + 515290000 = 22704^2 + 22700^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1030761617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323680 + ... + 326848.

It is an arithmetic number, because the mean of its divisors is an integer number (51739155).

Almost surely, 21030761616 is an apocalyptic number.

1030761616 is a gapful number since it is divisible by the number (16) 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 1030761616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034783100).

1030761616 is an abundant number, since it is smaller than the sum of its proper divisors (1038804584).

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

1030761616 is a wasteful number, since it uses less digits than its factorization.

1030761616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 1030761616 is about 32105.4764175833. The cubic root of 1030761616 is about 1010.1504909240.

The spelling of 1030761616 in words is "one billion, thirty million, seven hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 701 1402 2804 3169 5608 6338 11216 12676 20329 25352 40658 50704 81316 91901 162632 183802 325264 367604 735208 1470416 2221469 4442938 8885876 17771752 35543504 64422601 128845202 257690404 515380808 1030761616