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155532240 = 24325337641
BaseRepresentation
bin10010100010100…
…11101111010000
3101211122212010100
421101103233100
5304304012430
623233332400
73566000523
oct1121235720
9354585110
10155532240
117a880746
1244107100
13262b8016
1416928bba
15d9c3960
hex9453bd0

155532240 has 120 divisors (see below), whose sum is σ = 524696328. Its totient is φ = 41287680.

The previous prime is 155532227. The next prime is 155532241. The reversal of 155532240 is 42235551.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27751824 + 127780416 = 5268^2 + 11304^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155532241) 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 23 ways as a sum of consecutive naturals, for example, 242320 + ... + 242960.

Almost surely, 2155532240 is an apocalyptic number.

155532240 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 155532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262348164).

155532240 is an abundant number, since it is smaller than the sum of its proper divisors (369164088).

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

155532240 is a wasteful number, since it uses less digits than its factorization.

155532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 155532240 is about 12471.2565525692. The cubic root of 155532240 is about 537.7826773428.

Adding to 155532240 its reverse (42235551), we get a palindrome (197767791).

The spelling of 155532240 in words is "one hundred fifty-five million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 337 360 641 674 720 1011 1282 1348 1685 1923 2022 2564 2696 3033 3205 3370 3846 4044 5055 5128 5392 5769 6066 6410 6740 7692 8088 9615 10110 10256 11538 12132 12820 13480 15165 15384 16176 19230 20220 23076 24264 25640 26960 28845 30330 30768 38460 40440 46152 48528 51280 57690 60660 76920 80880 92304 115380 121320 153840 216017 230760 242640 432034 461520 648051 864068 1080085 1296102 1728136 1944153 2160170 2592204 3240255 3456272 3888306 4320340 5184408 6480510 7776612 8640680 9720765 10368816 12961020 15553224 17281360 19441530 25922040 31106448 38883060 51844080 77766120 155532240