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125038740 = 22351727211
BaseRepresentation
bin1110111001111…
…11000010010100
322201021121220110
413130333002110
5224002214430
620224003020
73045545301
oct734770224
9281247813
10125038740
1164643502
1235a60470
131cb9c528
141286c0a8
15ae9d7b0
hex773f094

125038740 has 72 divisors (see below), whose sum is σ = 371966112. Its totient is φ = 31377920.

The previous prime is 125038733. The next prime is 125038747. The reversal of 125038740 is 47830521.

It is an interprime number because it is at equal distance from previous prime (125038733) and next prime (125038747).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 125038698 and 125038707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125038747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13735 + ... + 20945.

It is an arithmetic number, because the mean of its divisors is an integer number (5166196).

Almost surely, 2125038740 is an apocalyptic number.

125038740 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 125038740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185983056).

125038740 is an abundant number, since it is smaller than the sum of its proper divisors (246927372).

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

125038740 is a wasteful number, since it uses less digits than its factorization.

125038740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 125038740 is about 11182.0722587542. The cubic root of 125038740 is about 500.0516479981.

The spelling of 125038740 in words is "one hundred twenty-five million, thirty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 4335 5780 7211 8670 14422 17340 21633 28844 36055 43266 72110 86532 108165 122587 144220 216330 245174 367761 432660 490348 612935 735522 1225870 1471044 1838805 2083979 2451740 3677610 4167958 6251937 7355220 8335916 10419895 12503874 20839790 25007748 31259685 41679580 62519370 125038740