Search a number
-
+
149573700 = 223252198747
BaseRepresentation
bin10001110101001…
…01000001000100
3101102110010112200
420322211001010
5301242324300
622501514500
73464232633
oct1072450104
9342403480
10149573700
1177480a31
1242112a30
1324cacb63
1415c1751a
15d1e8200
hex8ea5044

149573700 has 108 divisors (see below), whose sum is σ = 493562160. Its totient is φ = 37782720.

The previous prime is 149573663. The next prime is 149573713. The reversal of 149573700 is 7375941.

It is a happy number.

149573700 is a `hidden beast` number, since 14 + 9 + 573 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12727 + ... + 21473.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2149573700 is an apocalyptic number.

149573700 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 149573700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246781080).

149573700 is an abundant number, since it is smaller than the sum of its proper divisors (343988460).

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

149573700 is a wasteful number, since it uses less digits than its factorization.

149573700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 149573700 is about 12230.0327064158. The cubic root of 149573700 is about 530.8254610583.

The spelling of 149573700 in words is "one hundred forty-nine million, five hundred seventy-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 8747 17100 17494 26241 34988 43735 52482 78723 87470 104964 131205 157446 166193 174940 218675 262410 314892 332386 393615 437350 498579 524820 656025 664772 787230 830965 874700 997158 1312050 1495737 1574460 1661930 1968075 1994316 2492895 2624100 2991474 3323860 3936150 4154825 4985790 5982948 7478685 7872300 8309650 9971580 12464475 14957370 16619300 24928950 29914740 37393425 49857900 74786850 149573700