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1085389236 = 2232314720693
BaseRepresentation
bin100000010110001…
…1011100110110100
32210122100111010100
41000230123212310
54210324423421
6255411354100
735616441051
oct10054334664
92718314110
101085389236
11507745aa8
122635b2930
13143b36569
14a4218028
156544bc26
hex40b1b9b4

1085389236 has 72 divisors (see below), whose sum is σ = 2892524544. Its totient is φ = 342659520.

The previous prime is 1085389223. The next prime is 1085389237. The reversal of 1085389236 is 6329835801.

It is a happy number.

1085389236 is a `hidden beast` number, since 108 + 538 + 9 + 2 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1085389191 and 1085389200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085389237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42106 + ... + 62798.

It is an arithmetic number, because the mean of its divisors is an integer number (40173952).

Almost surely, 21085389236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085389236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446262272).

1085389236 is an abundant number, since it is smaller than the sum of its proper divisors (1807135308).

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

1085389236 is a wasteful number, since it uses less digits than its factorization.

1085389236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20781 (or 20776 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1085389236 is about 32945.2460303456. The cubic root of 1085389236 is about 1027.6893046345.

The spelling of 1085389236 in words is "one billion, eighty-five million, three hundred eighty-nine thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 846 1116 1457 1692 2914 4371 5828 8742 13113 17484 20693 26226 41386 52452 62079 82772 124158 186237 248316 372474 641483 744948 972571 1282966 1924449 1945142 2565932 2917713 3848898 3890284 5773347 5835426 7697796 8753139 11546694 11670852 17506278 23093388 30149701 35012556 60299402 90449103 120598804 180898206 271347309 361796412 542694618 1085389236