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1150485504 = 2103727643
BaseRepresentation
bin100010010010011…
…0000010000000000
32222011211201102020
41010210300100000
54324011014004
6310054521440
740336652100
oct10444602000
92864751366
101150485504
11540467873
12281366280
1315447906c
14acb21200
156b0098d9
hex44930400

1150485504 has 132 divisors (see below), whose sum is σ = 3567577104. Its totient is φ = 328667136.

The previous prime is 1150485487. The next prime is 1150485509. The reversal of 1150485504 is 4055840511.

It is not an unprimeable number, because it can be changed into a prime (1150485509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146707 + ... + 154349.

Almost surely, 21150485504 is an apocalyptic number.

1150485504 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 1150485504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783788552).

1150485504 is an abundant number, since it is smaller than the sum of its proper divisors (2417091600).

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

1150485504 is an equidigital number, since it uses as much as digits as its factorization.

1150485504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680 (or 7655 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The square root of 1150485504 is about 33918.8075262088. The cubic root of 1150485504 is about 1047.8369693758.

The spelling of 1150485504 in words is "one billion, one hundred fifty million, four hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 6272 7168 7643 9408 10752 12544 15286 18816 21504 22929 25088 30572 37632 45858 50176 53501 61144 75264 91716 107002 122288 150528 160503 183432 214004 244576 321006 366864 374507 428008 489152 642012 733728 749014 856016 978304 1123521 1284024 1467456 1498028 1712032 1956608 2247042 2568048 2934912 2996056 3424064 3913216 4494084 5136096 5869824 5992112 6848128 7826432 8988168 10272192 11739648 11984224 13696256 17976336 20544384 23479296 23968448 27392512 35952672 41088768 47936896 54785024 71905344 82177536 95873792 143810688 164355072 191747584 287621376 383495168 575242752 1150485504