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1255632138 = 2331719193373
BaseRepresentation
bin100101011010111…
…0110110100001010
310020111200201111000
41022311312310022
510032420212023
6324332315430
743054461045
oct11265666412
93214621430
101255632138
11594854012
122b0612b76
131701a22c7
14bca91c5c
1575379243
hex4ad76d0a

1255632138 has 128 divisors (see below), whose sum is σ = 3134419200. Its totient is φ = 370262016.

The previous prime is 1255632137. The next prime is 1255632139. The reversal of 1255632138 is 8312365521.

1255632138 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 632 + 13 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1255632137) and next prime (1255632139).

It is a super-2 number, since 2×12556321382 = 3153224131956902088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1255632137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3366120 + ... + 3366492.

It is an arithmetic number, because the mean of its divisors is an integer number (24487650).

Almost surely, 21255632138 is an apocalyptic number.

1255632138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255632138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567209600).

1255632138 is an abundant number, since it is smaller than the sum of its proper divisors (1878787062).

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

1255632138 is a wasteful number, since it uses less digits than its factorization.

1255632138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1255632138 is about 35434.8999998589. The cubic root of 1255632138 is about 1078.8327976507.

Adding to 1255632138 its reverse (8312365521), we get a palindrome (9567997659).

The spelling of 1255632138 in words is "one billion, two hundred fifty-five million, six hundred thirty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 193 306 323 342 373 386 459 513 579 646 746 918 969 1026 1119 1158 1737 1938 2238 2907 3281 3357 3474 3667 5211 5814 6341 6562 6714 7087 7334 8721 9843 10071 10422 11001 12682 14174 17442 19023 19686 20142 21261 22002 29529 33003 38046 42522 57069 59058 62339 63783 66006 71989 88587 99009 114138 120479 124678 127566 143978 171207 177174 187017 191349 198018 215967 240958 342414 361437 374034 382698 431934 561051 647901 722874 1084311 1122102 1223813 1295802 1367791 1683153 1943703 2168622 2447626 2735582 3252933 3366306 3671439 3887406 4103373 6505866 7342878 8206746 11014317 12310119 22028634 23252447 24620238 33042951 36930357 46504894 66085902 69757341 73860714 139514682 209272023 418544046 627816069 1255632138