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153155380 = 225721729317
BaseRepresentation
bin10010010000011…
…11011100110100
3101200012002200111
421020033130310
5303201433010
623110352404
73536541100
oct1110173464
9350162614
10153155380
11794a79a4
124335b704
13259651b1
14164aa900
15d6a458a
hex920f734

153155380 has 144 divisors (see below), whose sum is σ = 411097680. Its totient is φ = 47566848.

The previous prime is 153155369. The next prime is 153155393. The reversal of 153155380 is 83551351.

It can be written as a sum of positive squares in 8 ways, for example, as 5143824 + 148011556 = 2268^2 + 12166^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 482982 + ... + 483298.

It is an arithmetic number, because the mean of its divisors is an integer number (2854845).

Almost surely, 2153155380 is an apocalyptic number.

153155380 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 153155380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205548840).

153155380 is an abundant number, since it is smaller than the sum of its proper divisors (257942300).

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

153155380 is a wasteful number, since it uses less digits than its factorization.

153155380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 153155380 is about 12375.5961472569. The cubic root of 153155380 is about 535.0291188623.

The spelling of 153155380 in words is "one hundred fifty-three million, one hundred fifty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 29 34 35 49 58 68 70 85 98 116 119 140 145 170 196 203 238 245 290 317 340 406 476 490 493 580 595 634 812 833 980 986 1015 1190 1268 1421 1585 1666 1972 2030 2219 2380 2465 2842 3170 3332 3451 4060 4165 4438 4930 5389 5684 6340 6902 7105 8330 8876 9193 9860 10778 11095 13804 14210 15533 16660 17255 18386 21556 22190 24157 26945 28420 31066 34510 36772 37723 44380 45965 48314 53890 62132 64351 69020 75446 77665 91930 96628 107780 120785 128702 150892 155330 156281 183860 188615 241570 257404 264061 310660 312562 321755 377230 450457 483140 528122 625124 643510 754460 781405 900914 1056244 1093967 1287020 1320305 1562810 1801828 2187934 2252285 2640610 3125620 4375868 4504570 5281220 5469835 7657769 9009140 10939670 15315538 21879340 30631076 38288845 76577690 153155380