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1154111020 = 225237334369
BaseRepresentation
bin100010011001010…
…0101011000101100
32222102122220200121
41010302211120230
54330423023040
6310304334324
740412532106
oct10462453054
92872586617
101154111020
11542513767
122826143a4
1315514833a
14ad3c6576
156b4c3c4a
hex44ca562c

1154111020 has 48 divisors (see below), whose sum is σ = 2563727040. Its totient is φ = 435511296.

The previous prime is 1154111003. The next prime is 1154111027. The reversal of 1154111020 is 201114511.

It is a junction number, because it is equal to n+sod(n) for n = 1154110985 and 1154111003.

It is not an unprimeable number, because it can be changed into a prime (1154111027) 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, 16396 + ... + 50764.

It is an arithmetic number, because the mean of its divisors is an integer number (53410980).

Almost surely, 21154111020 is an apocalyptic number.

1154111020 is a gapful number since it is divisible by the number (10) 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 1154111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281863520).

1154111020 is an abundant number, since it is smaller than the sum of its proper divisors (1409616020).

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

1154111020 is a wasteful number, since it uses less digits than its factorization.

1154111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34474 (or 34472 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 1154111020 is about 33972.2095248455. The cubic root of 1154111020 is about 1048.9364953651.

Adding to 1154111020 its reverse (201114511), we get a palindrome (1355225531).

The spelling of 1154111020 in words is "one billion, one hundred fifty-four million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 460 730 1460 1679 3358 6716 8395 16790 33580 34369 68738 137476 171845 343690 687380 790487 1580974 2508937 3161948 3952435 5017874 7904870 10035748 12544685 15809740 25089370 50178740 57705551 115411102 230822204 288527755 577055510 1154111020