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153155340 = 223351321817
BaseRepresentation
bin10010010000011…
…11011100001100
3101200012002122000
421020033130030
5303201432330
623110352300
73536541012
oct1110173414
9350162560
10153155340
11794a7968
124335b690
1325965180
14164aa8b2
15d6a4560
hex920f70c

153155340 has 96 divisors (see below), whose sum is σ = 513159360. Its totient is φ = 37698048.

The previous prime is 153155291. The next prime is 153155347. The reversal of 153155340 is 43551351.

153155340 is a `hidden beast` number, since 1 + 5 + 315 + 5 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (153155347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3889 + ... + 17928.

It is an arithmetic number, because the mean of its divisors is an integer number (5345410).

Almost surely, 2153155340 is an apocalyptic number.

153155340 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 153155340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256579680).

153155340 is an abundant number, since it is smaller than the sum of its proper divisors (360004020).

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

153155340 is a wasteful number, since it uses less digits than its factorization.

153155340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21848 (or 21840 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 153155340 is about 12375.5945311730. The cubic root of 153155340 is about 535.0290722840.

The spelling of 153155340 in words is "one hundred fifty-three million, one hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 21817 43634 65451 87268 109085 130902 196353 218170 261804 283621 327255 392706 436340 567242 589059 654510 785412 850863 981765 1134484 1178118 1309020 1418105 1701726 1963530 2356236 2552589 2836210 2945295 3403452 3927060 4254315 5105178 5672420 5890590 7657767 8508630 10210356 11781180 12762945 15315534 17017260 25525890 30631068 38288835 51051780 76577670 153155340