Search a number
-
+
1061318640 = 24355383437
BaseRepresentation
bin111111010000100…
…110111111110000
32201222001120110210
4333100212333300
54133144144030
6253151424120
735205026304
oct7720467760
92658046423
101061318640
114a50a5448
12257525040
1313bb593c5
14a0d4dd04
1563294bb0
hex3f426ff0

1061318640 has 80 divisors (see below), whose sum is σ = 3352205088. Its totient is φ = 277675008.

The previous prime is 1061318633. The next prime is 1061318651. The reversal of 1061318640 is 468131601.

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

It is a super-2 number, since 2×10613186402 = 2252794511222899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1061318598 and 1061318607.

It is a congruent number.

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, 28999 + ... + 54438.

Almost surely, 21061318640 is an apocalyptic number.

1061318640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061318640 is an abundant number, since it is smaller than the sum of its proper divisors (2290886448).

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

1061318640 is a wasteful number, since it uses less digits than its factorization.

1061318640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83506 (or 83500 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1061318640 is about 32577.8857509201. The cubic root of 1061318640 is about 1020.0354466728.

The spelling of 1061318640 in words is "one billion, sixty-one million, three hundred eighteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 83437 166874 250311 333748 417185 500622 667496 834370 1001244 1251555 1334992 1668740 2002488 2503110 3337480 4004976 4422161 5006220 6674960 8844322 10012440 13266483 17688644 20024880 22110805 26532966 35377288 44221610 53065932 66332415 70754576 88443220 106131864 132664830 176886440 212263728 265329660 353772880 530659320 1061318640