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1036085130 = 232597118681
BaseRepresentation
bin111101110000010…
…110011110001010
32200012120120121100
4331300112132022
54110214211010
6250450522230
734450402233
oct7560263612
92605516540
101036085130
11491930103
1224ab96376
13136862b32
149b86208a
1560e5d2c0
hex3dc1678a

1036085130 has 48 divisors (see below), whose sum is σ = 2721615624. Its totient is φ = 273438720.

The previous prime is 1036085101. The next prime is 1036085153. The reversal of 1036085130 is 315806301.

1036085130 is a `hidden beast` number, since 1 + 0 + 3 + 608 + 51 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 607967649 + 428117481 = 24657^2 + 20691^2 .

It is a super-3 number, since 3×10360851303 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1036085094 and 1036085103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50611 + ... + 68070.

Almost surely, 21036085130 is an apocalyptic number.

1036085130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1036085130 is an abundant number, since it is smaller than the sum of its proper divisors (1685530494).

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

1036085130 is a wasteful number, since it uses less digits than its factorization.

1036085130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118791 (or 118788 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1036085130 is about 32188.2762819011. The cubic root of 1036085130 is about 1011.8865273210.

The spelling of 1036085130 in words is "one billion, thirty-six million, eighty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 8730 118681 237362 356043 593405 712086 1068129 1186810 1780215 2136258 3560430 5340645 10681290 11512057 23024114 34536171 57560285 69072342 103608513 115120570 172680855 207217026 345361710 518042565 1036085130