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125972730 = 232513671607
BaseRepresentation
bin1111000001000…
…11000011111010
322210001002002200
413200203003322
5224222111410
620300011030
73056515302
oct740430372
9283032080
10125972730
11651211a4
1236230a76
13201386a0
1412a32602
15b0d53c0
hex78230fa

125972730 has 96 divisors (see below), whose sum is σ = 358210944. Its totient is φ = 30526848.

The previous prime is 125972711. The next prime is 125972731. The reversal of 125972730 is 37279521.

125972730 is a `hidden beast` number, since 12 + 597 + 27 + 30 = 666.

It is not an unprimeable number, because it can be changed into a prime (125972731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77587 + ... + 79193.

It is an arithmetic number, because the mean of its divisors is an integer number (3731364).

Almost surely, 2125972730 is an apocalyptic number.

125972730 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 125972730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179105472).

125972730 is an abundant number, since it is smaller than the sum of its proper divisors (232238214).

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

125972730 is a wasteful number, since it uses less digits than its factorization.

125972730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1697 counting only the distinct ones).

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

The square root of 125972730 is about 11223.7573922461. The cubic root of 125972730 is about 501.2936235233.

The spelling of 125972730 in words is "one hundred twenty-five million, nine hundred seventy-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 67 78 90 117 130 134 195 201 234 335 390 402 585 603 670 871 1005 1170 1206 1607 1742 2010 2613 3015 3214 4355 4821 5226 6030 7839 8035 8710 9642 13065 14463 15678 16070 20891 24105 26130 28926 39195 41782 48210 62673 72315 78390 104455 107669 125346 144630 188019 208910 215338 313365 323007 376038 538345 626730 646014 940095 969021 1076690 1399697 1615035 1880190 1938042 2799394 3230070 4199091 4845105 6998485 8398182 9690210 12597273 13996970 20995455 25194546 41990910 62986365 125972730