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1061996832 = 25341331517
BaseRepresentation
bin111111010011001…
…100100100100000
32202000100000210000
4333103030210200
54133332344312
6253214140000
735213552451
oct7723144440
92660300700
101061996832
114a5518a36
122577b1600
1313c035cc0
14a1089128
156337aadc
hex3f4cc920

1061996832 has 120 divisors (see below), whose sum is σ = 3363663996. Its totient is φ = 326757888.

The previous prime is 1061996821. The next prime is 1061996839. The reversal of 1061996832 is 2386991601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 894967056 + 167029776 = 29916^2 + 12924^2 .

It is a super-2 number, since 2×10619968322 = 2255674542356072448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061996839) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17938 + ... + 49454.

Almost surely, 21061996832 is an apocalyptic number.

1061996832 is a gapful number since it is divisible by the number (12) 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 1061996832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681831998).

1061996832 is an abundant number, since it is smaller than the sum of its proper divisors (2301667164).

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

1061996832 is a wasteful number, since it uses less digits than its factorization.

1061996832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31552 (or 31535 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1061996832 is about 32588.2928672246. The cubic root of 1061996832 is about 1020.2526709680.

The spelling of 1061996832 in words is "one billion, sixty-one million, nine hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 31517 33696 63034 94551 126068 189102 252136 283653 378204 409721 504272 567306 756408 819442 850959 1008544 1134612 1229163 1512816 1638884 1701918 2269224 2458326 2552877 3025632 3277768 3403836 3687489 4538448 4916652 5105754 6555536 6807672 7374978 9076896 9833304 10211508 11062467 13111072 13615344 14749956 19666608 20423016 22124934 27230688 29499912 33187401 39333216 40846032 44249868 58999824 66374802 81692064 88499736 117999648 132749604 176999472 265499208 353998944 530998416 1061996832