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1065210640 = 2451310110141
BaseRepresentation
bin111111011111011…
…101001100010000
32202020101022021221
4333133131030100
54140143220030
6253411054424
735253066244
oct7737351420
92666338257
101065210640
114a731357a
122588a1414
1313c8bca70
14a1684424
15637b2e7a
hex3f7dd310

1065210640 has 80 divisors (see below), whose sum is σ = 2693796336. Its totient is φ = 389376000.

The previous prime is 1065210637. The next prime is 1065210691. The reversal of 1065210640 is 460125601.

It can be written as a sum of positive squares in 8 ways, for example, as 22695696 + 1042514944 = 4764^2 + 32288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10652106402 = 2269347415138419200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99970 + ... + 110110.

Almost surely, 21065210640 is an apocalyptic number.

1065210640 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 1065210640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346898168).

1065210640 is an abundant number, since it is smaller than the sum of its proper divisors (1628585696).

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

1065210640 is a wasteful number, since it uses less digits than its factorization.

1065210640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10268 (or 10262 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1065210640 is about 32637.5648601424. The cubic root of 1065210640 is about 1021.2807952593.

The spelling of 1065210640 in words is "one billion, sixty-five million, two hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 202 208 260 404 505 520 808 1010 1040 1313 1616 2020 2626 4040 5252 6565 8080 10141 10504 13130 20282 21008 26260 40564 50705 52520 81128 101410 105040 131833 162256 202820 263666 405640 527332 659165 811280 1024241 1054664 1318330 2048482 2109328 2636660 4096964 5121205 5273320 8193928 10242410 10546640 13315133 16387856 20484820 26630266 40969640 53260532 66575665 81939280 106521064 133151330 213042128 266302660 532605320 1065210640