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155052800 = 285273461
BaseRepresentation
bin10010011110111…
…10101100000000
3101210202111110022
421033132230000
5304143142200
623215153012
73561632660
oct1117365400
9353674408
10155052800
117a583511
1243b15768
132617aa26
14168421a0
15d92b885
hex93deb00

155052800 has 108 divisors (see below), whose sum is σ = 438732336. Its totient is φ = 53145600.

The previous prime is 155052791. The next prime is 155052809. The reversal of 155052800 is 8250551.

It is an interprime number because it is at equal distance from previous prime (155052791) and next prime (155052809).

It is a self number, because there is not a number n which added to its sum of digits gives 155052800.

It is not an unprimeable number, because it can be changed into a prime (155052809) 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 11 ways as a sum of consecutive naturals, for example, 43070 + ... + 46530.

Almost surely, 2155052800 is an apocalyptic number.

155052800 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 155052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219366168).

155052800 is an abundant number, since it is smaller than the sum of its proper divisors (283679536).

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

155052800 is an equidigital number, since it uses as much as digits as its factorization.

155052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 155052800 is about 12452.0199164634. The cubic root of 155052800 is about 537.2295231908.

The spelling of 155052800 in words is "one hundred fifty-five million, fifty-two thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2800 3200 3461 4480 5600 6400 6922 8960 11200 13844 17305 22400 24227 27688 34610 44800 48454 55376 69220 86525 96908 110752 121135 138440 173050 193816 221504 242270 276880 346100 387632 443008 484540 553760 605675 692200 775264 886016 969080 1107520 1211350 1384400 1550528 1938160 2215040 2422700 2768800 3101056 3876320 4430080 4845400 5537600 6202112 7752640 9690800 11075200 15505280 19381600 22150400 31010560 38763200 77526400 155052800