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1351357084 = 2272113120219
BaseRepresentation
bin101000010001100…
…0001001010011100
310111011211001102101
41100203001022130
510231421411314
6342032134444
745326226400
oct12043011234
93434731371
101351357084
11633895640
12318697424
13186c79c9c
14cb68d100
157d987174
hex508c129c

1351357084 has 72 divisors (see below), whose sum is σ = 3098027520. Its totient is φ = 509493600.

The previous prime is 1351357079. The next prime is 1351357123. The reversal of 1351357084 is 4807531531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56727 + ... + 76945.

It is an arithmetic number, because the mean of its divisors is an integer number (43028160).

Almost surely, 21351357084 is an apocalyptic number.

1351357084 is a gapful number since it is divisible by the number (14) 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 1351357084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549013760).

1351357084 is an abundant number, since it is smaller than the sum of its proper divisors (1746670436).

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

1351357084 is a wasteful number, since it uses less digits than its factorization.

1351357084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20279 (or 20270 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 1351357084 is about 36760.8090770592. The cubic root of 1351357084 is about 1105.5796618794.

The spelling of 1351357084 in words is "one billion, three hundred fifty-one million, three hundred fifty-seven thousand, eighty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 49 62 77 98 124 154 196 217 308 341 434 539 682 868 1078 1364 1519 2156 2387 3038 4774 6076 9548 16709 20219 33418 40438 66836 80876 141533 222409 283066 444818 566132 626789 889636 990731 1253578 1556863 1981462 2507156 3113726 3962924 4387523 6227452 6894679 8775046 10898041 13789358 17550092 21796082 27578716 30712661 43592164 48262753 61425322 96525506 122850644 193051012 337839271 675678542 1351357084