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1269242172 = 2232118936013
BaseRepresentation
bin100101110100111…
…0001100100111100
310021110022011221100
41023221301210330
510044411222142
6325540133100
743311244332
oct11351614474
93243264840
101269242172
115a14aa480
122b5097190
13172c59093
14c07d5b52
1576666b4c
hex4ba7193c

1269242172 has 72 divisors (see below), whose sum is σ = 3539455920. Its totient is φ = 380286720.

The previous prime is 1269242141. The next prime is 1269242179. The reversal of 1269242172 is 2712429621.

1269242172 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12692421722 = 3221951382366555168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1269242179) 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, 17238 + ... + 53250.

It is an arithmetic number, because the mean of its divisors is an integer number (49159110).

Almost surely, 21269242172 is an apocalyptic number.

1269242172 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 1269242172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769727960).

1269242172 is an abundant number, since it is smaller than the sum of its proper divisors (2270213748).

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

1269242172 is a wasteful number, since it uses less digits than its factorization.

1269242172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36123 (or 36118 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1269242172 is about 35626.4251925449. The cubic root of 1269242172 is about 1082.7166893719.

The spelling of 1269242172 in words is "one billion, two hundred sixty-nine million, two hundred forty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 801 979 1068 1602 1958 2937 3204 3916 5874 8811 11748 17622 35244 36013 72026 108039 144052 216078 324117 396143 432156 648234 792286 1188429 1296468 1584572 2376858 3205157 3565287 4753716 6410314 7130574 9615471 12820628 14261148 19230942 28846413 35256727 38461884 57692826 70513454 105770181 115385652 141026908 211540362 317310543 423080724 634621086 1269242172