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1269013152 = 2531121071021
BaseRepresentation
bin100101110100011…
…1001101010100000
310021102212112210010
41023220321222200
510044331410102
6325531204520
743306301541
oct11350715240
93242775703
101269013152
115a1363400
122b4ba6740
13172ba8a74
14c07764c8
157661dd6c
hex4ba39aa0

1269013152 has 144 divisors (see below), whose sum is σ = 3699362016. Its totient is φ = 380582400.

The previous prime is 1269013147. The next prime is 1269013153. The reversal of 1269013152 is 2513109621.

It is a super-2 number, since 2×12690131522 = 3220788759897950208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1269013153) 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, 1242402 + ... + 1243422.

It is an arithmetic number, because the mean of its divisors is an integer number (25690014).

Almost surely, 21269013152 is an apocalyptic number.

1269013152 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 1269013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849681008).

1269013152 is an abundant number, since it is smaller than the sum of its proper divisors (2430348864).

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

1269013152 is a wasteful number, since it uses less digits than its factorization.

1269013152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1269013152 is about 35623.2108603366. The cubic root of 1269013152 is about 1082.6515642399.

The spelling of 1269013152 in words is "one billion, two hundred sixty-nine million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 107 121 132 176 214 242 264 321 352 363 428 484 528 642 726 856 968 1021 1056 1177 1284 1452 1712 1936 2042 2354 2568 2904 3063 3424 3531 3872 4084 4708 5136 5808 6126 7062 8168 9416 10272 11231 11616 12252 12947 14124 16336 18832 22462 24504 25894 28248 32672 33693 37664 38841 44924 49008 51788 56496 67386 77682 89848 98016 103576 109247 112992 123541 134772 155364 179696 207152 218494 247082 269544 310728 327741 359392 370623 414304 436988 494164 539088 621456 655482 741246 873976 988328 1078176 1201717 1242912 1310964 1482492 1747952 1976656 2403434 2621928 2964984 3495904 3605151 3953312 4806868 5243856 5929968 7210302 9613736 10487712 11859936 13218887 14420604 19227472 26437774 28841208 38454944 39656661 52875548 57682416 79313322 105751096 115364832 158626644 211502192 317253288 423004384 634506576 1269013152