Search a number
-
+
125423232 = 27311231291
BaseRepresentation
bin1110111100111…
…00111010000000
322202000011022220
413132130322000
5224102020412
620240131040
73052036254
oct736347200
9282004286
10125423232
1164886370
1236006a80
131cca553c
141292c264
15b02768c
hex779ce80

125423232 has 128 divisors (see below), whose sum is σ = 379537920. Its totient is φ = 36326400.

The previous prime is 125423191. The next prime is 125423261. The reversal of 125423232 is 232324521.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96507 + ... + 97797.

It is an arithmetic number, because the mean of its divisors is an integer number (2965140).

Almost surely, 2125423232 is an apocalyptic number.

125423232 is a gapful number since it is divisible by the number (12) 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 125423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189768960).

125423232 is an abundant number, since it is smaller than the sum of its proper divisors (254114688).

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

125423232 is a wasteful number, since it uses less digits than its factorization.

125423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1330 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 125423232 is about 11199.2514035537. The cubic root of 125423232 is about 500.5636736386.

Adding to 125423232 its reverse (232324521), we get a palindrome (357747753).

The spelling of 125423232 in words is "one hundred twenty-five million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 506 528 552 704 736 759 1012 1056 1104 1291 1408 1472 1518 2024 2112 2208 2582 2944 3036 3873 4048 4224 4416 5164 6072 7746 8096 8832 10328 12144 14201 15492 16192 20656 24288 28402 29693 30984 32384 41312 42603 48576 56804 59386 61968 82624 85206 89079 97152 113608 118772 123936 165248 170412 178158 227216 237544 247872 326623 340824 356316 454432 475088 495744 653246 681648 712632 908864 950176 979869 1306492 1363296 1425264 1817728 1900352 1959738 2612984 2726592 2850528 3800704 3919476 5225968 5453184 5701056 7838952 10451936 11402112 15677904 20903872 31355808 41807744 62711616 125423232