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1360000152 = 233378310837
BaseRepresentation
bin101000100001111…
…1111010010011000
310111210002011111000
41101003333102120
510241130001102
6342541305000
745462545010
oct12103772230
93453064430
101360000152
11638759275
1231b565160
131889b5024
14cc89cc40
157e5e301c
hex510ff498

1360000152 has 128 divisors (see below), whose sum is σ = 4369881600. Its totient is φ = 383854464.

The previous prime is 1360000151. The next prime is 1360000171. The reversal of 1360000152 is 2510000631.

1360000152 is a `hidden beast` number, since 13 + 600 + 0 + 0 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1360000151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120078 + ... + 130914.

It is an arithmetic number, because the mean of its divisors is an integer number (34139700).

Almost surely, 21360000152 is an apocalyptic number.

1360000152 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 1360000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184940800).

1360000152 is an abundant number, since it is smaller than the sum of its proper divisors (3009881448).

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

1360000152 is a wasteful number, since it uses less digits than its factorization.

1360000152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10942 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1360000152 is about 36878.1798900108. The cubic root of 1360000152 is about 1107.9316926268.

Adding to 1360000152 its reverse (2510000631), we get a palindrome (3870000783).

The spelling of 1360000152 in words is "one billion, three hundred sixty million, one hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 83 84 108 126 166 168 189 216 249 252 332 378 498 504 581 664 747 756 996 1162 1494 1512 1743 1992 2241 2324 2988 3486 4482 4648 5229 5976 6972 8964 10458 10837 13944 15687 17928 20916 21674 31374 32511 41832 43348 62748 65022 75859 86696 97533 125496 130044 151718 195066 227577 260088 292599 303436 390132 455154 585198 606872 682731 780264 899471 910308 1170396 1365462 1798942 1820616 2048193 2340792 2698413 2730924 3597884 4096386 5396826 5461848 6296297 7195768 8095239 8192772 10793652 12592594 16190478 16385544 18888891 21587304 24285717 25185188 32380956 37777782 48571434 50370376 56666673 64761912 75555564 97142868 113333346 151111128 170000019 194285736 226666692 340000038 453333384 680000076 1360000152