Search a number
-
+
1330455088 = 241719435987
BaseRepresentation
bin100111101001101…
…0010001000110000
310102201111010021101
41033103102020300
510211044030323
6340004134144
744653452544
oct11723221060
93381433241
101330455088
11623009666
12311697354
1318283c141
14c89aba24
157bc08dad
hex4f4d2230

1330455088 has 80 divisors (see below), whose sum is σ = 2940347520. Its totient is φ = 579253248.

The previous prime is 1330455083. The next prime is 1330455103. The reversal of 1330455088 is 8805540331.

It is a super-2 number, since 2×13304550882 = 3540221482370175488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330455083) by changing a digit.

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, 219231 + ... + 225217.

It is an arithmetic number, because the mean of its divisors is an integer number (36754344).

Almost surely, 21330455088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330455088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470173760).

1330455088 is an abundant number, since it is smaller than the sum of its proper divisors (1609892432).

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

1330455088 is a wasteful number, since it uses less digits than its factorization.

1330455088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 1330455088 is about 36475.4038771334. The cubic root of 1330455088 is about 1099.8498660112.

The spelling of 1330455088 in words is "one billion, three hundred thirty million, four hundred fifty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 43 68 76 86 136 152 172 272 304 323 344 646 688 731 817 1292 1462 1634 2584 2924 3268 5168 5848 5987 6536 11696 11974 13072 13889 23948 27778 47896 55556 95792 101779 111112 113753 203558 222224 227506 257441 407116 455012 514882 814232 910024 1029764 1628464 1820048 1933801 2059528 3867602 4119056 4376497 4891379 7735204 8752994 9782758 15470408 17505988 19565516 30940816 35011976 39131032 70023952 78262064 83153443 166306886 332613772 665227544 1330455088