Search a number
-
+
1153153440 = 25325800801
BaseRepresentation
bin100010010111011…
…1011100110100000
32222100212021010200
41010232323212200
54330201402230
6310232025200
740401433245
oct10456734640
92870767120
101153153440
11541a1a27a
12282232200
13154ba151a
14ad2175cc
156b385160
hex44bbb9a0

1153153440 has 72 divisors (see below), whose sum is σ = 3935141028. Its totient is φ = 307507200.

The previous prime is 1153153439. The next prime is 1153153447. The reversal of 1153153440 is 443513511.

It is a happy number.

1153153440 is a `hidden beast` number, since 1 + 1 + 5 + 315 + 344 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1129766544 + 23386896 = 33612^2 + 4836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1153153447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398961 + ... + 401840.

Almost surely, 21153153440 is an apocalyptic number.

1153153440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153153440 is an abundant number, since it is smaller than the sum of its proper divisors (2781987588).

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

1153153440 is a wasteful number, since it uses less digits than its factorization.

1153153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800822 (or 800811 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1153153440 is about 33958.1130217802. The cubic root of 1153153440 is about 1048.6463099558.

Adding to 1153153440 its reverse (443513511), we get a palindrome (1596666951).

The spelling of 1153153440 in words is "one billion, one hundred fifty-three million, one hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 800801 1601602 2402403 3203204 4004005 4804806 6406408 7207209 8008010 9609612 12012015 12812816 14414418 16016020 19219224 24024030 25625632 28828836 32032040 36036045 38438448 48048060 57657672 64064080 72072090 76876896 96096120 115315344 128128160 144144180 192192240 230630688 288288360 384384480 576576720 1153153440