Search a number
-
+
125215440 = 24357731021
BaseRepresentation
bin1110111011010…
…10001011010000
322201121121021220
413131222023100
5224023343230
620231445040
73050212410
oct735521320
9281547256
10125215440
1164754239
1235b26780
131cc31a9c
14128b6640
15aed5d10
hex776a2d0

125215440 has 160 divisors (see below), whose sum is σ = 450137856. Its totient is φ = 28200960.

The previous prime is 125215439. The next prime is 125215451. The reversal of 125215440 is 44512521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125215440.

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, 122130 + ... + 123150.

Almost surely, 2125215440 is an apocalyptic number.

125215440 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 125215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225068928).

125215440 is an abundant number, since it is smaller than the sum of its proper divisors (324922416).

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

125215440 is a wasteful number, since it uses less digits than its factorization.

125215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 125215440 is about 11189.9705093445. The cubic root of 125215440 is about 500.2870884622.

Adding to 125215440 its reverse (44512521), we get a palindrome (169727961).

The spelling of 125215440 in words is "one hundred twenty-five million, two hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 73 80 84 105 112 120 140 146 168 210 219 240 280 292 336 365 420 438 511 560 584 730 840 876 1021 1022 1095 1168 1460 1533 1680 1752 2042 2044 2190 2555 2920 3063 3066 3504 4084 4088 4380 5105 5110 5840 6126 6132 7147 7665 8168 8176 8760 10210 10220 12252 12264 14294 15315 15330 16336 17520 20420 20440 21441 24504 24528 28588 30630 30660 35735 40840 40880 42882 49008 57176 61260 61320 71470 74533 81680 85764 107205 114352 122520 122640 142940 149066 171528 214410 223599 245040 285880 298132 343056 372665 428820 447198 521731 571760 596264 745330 857640 894396 1043462 1117995 1192528 1490660 1565193 1715280 1788792 2086924 2235990 2608655 2981320 3130386 3577584 4173848 4471980 5217310 5962640 6260772 7825965 8347696 8943960 10434620 12521544 15651930 17887920 20869240 25043088 31303860 41738480 62607720 125215440