Search a number
-
+
1346015136 = 253531371931
BaseRepresentation
bin101000000111010…
…1000111110100000
310110210202122122110
41100032220332200
510224034441021
6341321435320
745232640244
oct12016507640
93423678573
101346015136
11630877104
1231693bb40
13185b2967b
14caa9c424
157d27e476
hex503a8fa0

1346015136 has 96 divisors (see below), whose sum is σ = 3628110528. Its totient is φ = 436766720.

The previous prime is 1346015129. The next prime is 1346015147. The reversal of 1346015136 is 6315106431.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696091 + ... + 698021.

It is an arithmetic number, because the mean of its divisors is an integer number (37792818).

Almost surely, 21346015136 is an apocalyptic number.

1346015136 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 1346015136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814055264).

1346015136 is an abundant number, since it is smaller than the sum of its proper divisors (2282095392).

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

1346015136 is a wasteful number, since it uses less digits than its factorization.

1346015136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1346015136 is about 36688.0789358069. The cubic root of 1346015136 is about 1104.1209434819.

The spelling of 1346015136 in words is "one billion, three hundred forty-six million, fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 137 159 212 274 318 411 424 548 636 822 848 1096 1272 1644 1696 1931 2192 2544 3288 3862 4384 5088 5793 6576 7261 7724 11586 13152 14522 15448 21783 23172 29044 30896 43566 46344 58088 61792 87132 92688 102343 116176 174264 185376 204686 232352 264547 307029 348528 409372 529094 614058 697056 793641 818744 1058188 1228116 1587282 1637488 2116376 2456232 3174564 3274976 4232752 4912464 6349128 8465504 9824928 12698256 14020991 25396512 28041982 42062973 56083964 84125946 112167928 168251892 224335856 336503784 448671712 673007568 1346015136