Search a number
-
+
149130120 = 233517411783
BaseRepresentation
bin10001110001110…
…00101110001000
3101101121121001210
420320320232020
5301134130440
622444213120
73460404456
oct1070705610
9341547053
10149130120
11771a8737
1241b3a1a0
1324b85c99
1415b3d9d6
15d15ba80
hex8e38b88

149130120 has 128 divisors (see below), whose sum is σ = 485533440. Its totient is φ = 36495360.

The previous prime is 149130101. The next prime is 149130127. The reversal of 149130120 is 21031941.

It is not an unprimeable number, because it can be changed into a prime (149130127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82749 + ... + 84531.

It is an arithmetic number, because the mean of its divisors is an integer number (3793230).

Almost surely, 2149130120 is an apocalyptic number.

149130120 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 149130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242766720).

149130120 is an abundant number, since it is smaller than the sum of its proper divisors (336403320).

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

149130120 is a wasteful number, since it uses less digits than its factorization.

149130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 149130120 is about 12211.8843754762. The cubic root of 149130120 is about 530.3001977978.

The spelling of 149130120 in words is "one hundred forty-nine million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 41 51 60 68 82 85 102 120 123 136 164 170 204 205 246 255 328 340 408 410 492 510 615 680 697 820 984 1020 1230 1394 1640 1783 2040 2091 2460 2788 3485 3566 4182 4920 5349 5576 6970 7132 8364 8915 10455 10698 13940 14264 16728 17830 20910 21396 26745 27880 30311 35660 41820 42792 53490 60622 71320 73103 83640 90933 106980 121244 146206 151555 181866 213960 219309 242488 292412 303110 363732 365515 438618 454665 584824 606220 727464 731030 877236 909330 1096545 1212440 1242751 1462060 1754472 1818660 2193090 2485502 2924120 3637320 3728253 4386180 4971004 6213755 7456506 8772360 9942008 12427510 14913012 18641265 24855020 29826024 37282530 49710040 74565060 149130120