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1150505070 = 23511132331151
BaseRepresentation
bin100010010010011…
…0101000001101110
32222011212201020220
41010210311001232
54324012130240
6310055152210
740340063121
oct10444650156
92864781226
101150505070
11540480540
12281375666
13154484c40
14acb283b8
156b0105d0
hex4493506e

1150505070 has 128 divisors (see below), whose sum is σ = 3260694528. Its totient is φ = 256128000.

The previous prime is 1150505029. The next prime is 1150505071. The reversal of 1150505070 is 705050511.

It is a self number, because there is not a number n which added to its sum of digits gives 1150505070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150505071) 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 63 ways as a sum of consecutive naturals, for example, 998995 + ... + 1000145.

It is an arithmetic number, because the mean of its divisors is an integer number (25474176).

Almost surely, 21150505070 is an apocalyptic number.

1150505070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150505070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630347264).

1150505070 is an abundant number, since it is smaller than the sum of its proper divisors (2110189458).

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

1150505070 is a wasteful number, since it uses less digits than its factorization.

1150505070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418.

The product of its (nonzero) digits is 875, while the sum is 24.

The square root of 1150505070 is about 33919.0959490373. The cubic root of 1150505070 is about 1047.8429094367.

Adding to 1150505070 its reverse (705050511), we get a palindrome (1855555581).

The spelling of 1150505070 in words is "one billion, one hundred fifty million, five hundred five thousand, seventy".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 233 286 330 390 429 466 699 715 858 1151 1165 1398 1430 2145 2302 2330 2563 3029 3453 3495 4290 5126 5755 6058 6906 6990 7689 9087 11510 12661 12815 14963 15145 15378 17265 18174 25322 25630 29926 30290 33319 34530 37983 38445 44889 45435 63305 66638 74815 75966 76890 89778 90870 99957 126610 149630 164593 166595 189915 199914 224445 268183 329186 333190 379830 448890 493779 499785 536366 804549 822965 987558 999570 1340915 1609098 1645930 2468895 2681830 2950013 3486379 4022745 4937790 5900026 6972758 8045490 8850039 10459137 14750065 17431895 17700078 20918274 29500130 34863790 38350169 44250195 52295685 76700338 88500390 104591370 115050507 191750845 230101014 383501690 575252535 1150505070