Search a number
-
+
149570300 = 225211227599
BaseRepresentation
bin10001110101001…
…00001011111100
3101102102221212202
420322210023330
5301242222200
622501451032
73464220005
oct1072441374
9342387782
10149570300
1177479420
1242110a78
1324cab449
1415c161ac
15d1e71d5
hex8ea42fc

149570300 has 72 divisors (see below), whose sum is σ = 356227200. Its totient is φ = 54059200.

The previous prime is 149570249. The next prime is 149570321. The reversal of 149570300 is 3075941.

149570300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249401 + ... + 249999.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2149570300 is an apocalyptic number.

149570300 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 149570300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

149570300 is an abundant number, since it is smaller than the sum of its proper divisors (206656900).

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

149570300 is a wasteful number, since it uses less digits than its factorization.

149570300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 149570300 is about 12229.8937035446. The cubic root of 149570300 is about 530.8214389158.

The spelling of 149570300 in words is "one hundred forty-nine million, five hundred seventy thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 227 275 454 550 599 908 1100 1135 1198 2270 2396 2497 2995 4540 4994 5675 5990 6589 9988 11350 11980 12485 13178 14975 22700 24970 26356 29950 32945 49940 59900 62425 65890 124850 131780 135973 164725 249700 271946 329450 543892 658900 679865 1359730 1495703 2719460 2991406 3399325 5982812 6798650 7478515 13597300 14957030 29914060 37392575 74785150 149570300