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1356335136 = 253213675407
BaseRepresentation
bin101000011011000…
…0000100000100000
310111112011222000200
41100312000200200
510234210211021
6342330545200
745416441562
oct12066004040
93445158020
101356335136
11636685732
1231a298200
13188000a90
14cc1c7332
157e11c126
hex50d80820

1356335136 has 144 divisors (see below), whose sum is σ = 4216552704. Its totient is φ = 411028992.

The previous prime is 1356335119. The next prime is 1356335147. The reversal of 1356335136 is 6315336531.

1356335136 is a `hidden beast` number, since 1 + 3 + 5 + 633 + 5 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13563351362 = 3679290002296276992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1356335136.

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, 248145 + ... + 253551.

It is an arithmetic number, because the mean of its divisors is an integer number (29281616).

Almost surely, 21356335136 is an apocalyptic number.

1356335136 is a gapful number since it is divisible by the number (16) 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 1356335136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108276352).

1356335136 is an abundant number, since it is smaller than the sum of its proper divisors (2860217568).

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

1356335136 is a wasteful number, since it uses less digits than its factorization.

1356335136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5492 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 1356335136 is about 36828.4555201545. The cubic root of 1356335136 is about 1106.9355553781.

The spelling of 1356335136 in words is "one billion, three hundred fifty-six million, three hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 67 72 78 96 104 117 134 144 156 201 208 234 268 288 312 402 416 468 536 603 624 804 871 936 1072 1206 1248 1608 1742 1872 2144 2412 2613 3216 3484 3744 4824 5226 5407 6432 6968 7839 9648 10452 10814 13936 15678 16221 19296 20904 21628 27872 31356 32442 41808 43256 48663 62712 64884 70291 83616 86512 97326 125424 129768 140582 173024 194652 210873 250848 259536 281164 362269 389304 421746 519072 562328 632619 724538 778608 843492 1086807 1124656 1265238 1449076 1557216 1686984 2173614 2249312 2530476 2898152 3260421 3373968 4347228 4709497 5060952 5796304 6520842 6747936 8694456 9418994 10121904 11592608 13041684 14128491 17388912 18837988 20243808 26083368 28256982 34777824 37675976 42385473 52166736 56513964 75351952 84770946 104333472 113027928 150703904 169541892 226055856 339083784 452111712 678167568 1356335136