Search a number
-
+
155249600 = 2652118821
BaseRepresentation
bin10010100000011…
…10101111000000
3101211010111102012
421100032233000
5304220441400
623223312052
73563412512
oct1120165700
9354114365
10155249600
117a6a8360
1243bab628
132621948c
1416893bb2
15d969d35
hex940ebc0

155249600 has 84 divisors (see below), whose sum is σ = 416786568. Its totient is φ = 56448000.

The previous prime is 155249597. The next prime is 155249641. The reversal of 155249600 is 6942551.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13190 + ... + 22010.

Almost surely, 2155249600 is an apocalyptic number.

155249600 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 155249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208393284).

155249600 is an abundant number, since it is smaller than the sum of its proper divisors (261536968).

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

155249600 is a wasteful number, since it uses less digits than its factorization.

155249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854 (or 8839 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 155249600 is about 12459.9197429197. The cubic root of 155249600 is about 537.4567190677.

The spelling of 155249600 in words is "one hundred fifty-five million, two hundred forty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 8821 17600 17642 35284 44105 70568 88210 97031 141136 176420 194062 220525 282272 352840 388124 441050 485155 564544 705680 776248 882100 970310 1411360 1552496 1764200 1940620 2425775 2822720 3104992 3528400 3881240 4851550 6209984 7056800 7762480 9703100 14113600 15524960 19406200 31049920 38812400 77624800 155249600