Search a number
-
+
125870004 = 223313372423
BaseRepresentation
bin1111000000010…
…01111110110100
322202211212012000
413200021332310
5224210320004
620253455300
73055606641
oct740117664
9282755160
10125870004
1165060aa7
12361a1530
13201009c0
1412a06dc8
15b0b4c39
hex7809fb4

125870004 has 96 divisors (see below), whose sum is σ = 361079040. Its totient is φ = 37666944.

The previous prime is 125869999. The next prime is 125870011. The reversal of 125870004 is 400078521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 125870004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50737 + ... + 53159.

It is an arithmetic number, because the mean of its divisors is an integer number (3761240).

Almost surely, 2125870004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125870004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180539520).

125870004 is an abundant number, since it is smaller than the sum of its proper divisors (235209036).

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

125870004 is a wasteful number, since it uses less digits than its factorization.

125870004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 125870004 is about 11219.1801839528. The cubic root of 125870004 is about 501.1573244667.

The spelling of 125870004 in words is "one hundred twenty-five million, eight hundred seventy thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 222 234 333 351 444 468 481 666 702 962 999 1332 1404 1443 1924 1998 2423 2886 3996 4329 4846 5772 7269 8658 9692 12987 14538 17316 21807 25974 29076 31499 43614 51948 62998 65421 87228 89651 94497 125996 130842 179302 188994 261684 268953 283491 358604 377988 537906 566982 806859 850473 1075812 1133964 1165463 1613718 1700946 2330926 2420577 3227436 3401892 3496389 4661852 4841154 6992778 9682308 10489167 13985556 20978334 31467501 41956668 62935002 125870004