Search a number
-
+
125949150 = 232522343283
BaseRepresentation
bin1111000000111…
…01010011011110
322202222212202100
413200131103132
5224220333100
620255305530
73056356455
oct740352336
9282885670
10125949150
1165105508
123621b2a6
132012aa32
1412a27b9c
15b0cd400
hex781d4de

125949150 has 144 divisors (see below), whose sum is σ = 362583936. Its totient is φ = 31268160.

The previous prime is 125949137. The next prime is 125949179. The reversal of 125949150 is 51949521.

125949150 is a `hidden beast` number, since 12 + 594 + 9 + 1 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 444909 + ... + 445191.

It is an arithmetic number, because the mean of its divisors is an integer number (2517944).

Almost surely, 2125949150 is an apocalyptic number.

125949150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125949150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181291968).

125949150 is an abundant number, since it is smaller than the sum of its proper divisors (236634786).

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

125949150 is a wasteful number, since it uses less digits than its factorization.

125949150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 125949150 is about 11222.7068927242. The cubic root of 125949150 is about 501.2623436284.

The spelling of 125949150 in words is "one hundred twenty-five million, nine hundred forty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 43 45 46 50 69 75 86 90 115 129 138 150 207 215 225 230 258 283 345 387 414 430 450 566 575 645 690 774 849 989 1035 1075 1150 1290 1415 1698 1725 1935 1978 2070 2150 2547 2830 2967 3225 3450 3870 4245 4945 5094 5175 5934 6450 6509 7075 8490 8901 9675 9890 10350 12169 12735 13018 14150 14835 17802 19350 19527 21225 24338 24725 25470 29670 32545 36507 39054 42450 44505 49450 58581 60845 63675 65090 73014 74175 89010 97635 109521 117162 121690 127350 148350 162725 182535 195270 219042 222525 279887 292905 304225 325450 365070 445050 488175 547605 559774 585810 608450 839661 912675 976350 1095210 1399435 1464525 1679322 1825350 2518983 2738025 2798870 2929050 4198305 5037966 5476050 6997175 8396610 12594915 13994350 20991525 25189830 41983050 62974575 125949150