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125345440 = 25511229311
BaseRepresentation
bin1110111100010…
…01111010100000
322201212012121201
413132021322200
5224042023230
620234330544
73051263413
oct736117240
9281765551
10125345440
1164832980
1235b89a54
131cc78ccc
141290bb7a
15b00e5ca
hex7789ea0

125345440 has 96 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 45235200.

The previous prime is 125345417. The next prime is 125345461. The reversal of 125345440 is 44543521.

It is a super-2 number, since 2×1253454402 = 31422958657587200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125345399 and 125345408.

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, 402885 + ... + 403195.

It is an arithmetic number, because the mean of its divisors is an integer number (3390660).

Almost surely, 2125345440 is an apocalyptic number.

125345440 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 125345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

125345440 is an abundant number, since it is smaller than the sum of its proper divisors (200157920).

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

125345440 is a wasteful number, since it uses less digits than its factorization.

125345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 125345440 is about 11195.7777755724. Note that the first 5 decimals coincide. The cubic root of 125345440 is about 500.4601630367.

Adding to 125345440 its reverse (44543521), we get a palindrome (169888961).

The spelling of 125345440 in words is "one hundred twenty-five million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 229 311 352 440 458 622 880 916 1145 1244 1555 1760 1832 2290 2488 2519 3110 3421 3664 4580 4976 5038 6220 6842 7328 9160 9952 10076 12440 12595 13684 17105 18320 20152 24880 25190 27368 34210 36640 40304 49760 50380 54736 68420 71219 80608 100760 109472 136840 142438 201520 273680 284876 356095 403040 547360 569752 712190 783409 1139504 1424380 1566818 2279008 2848760 3133636 3917045 5697520 6267272 7834090 11395040 12534544 15668180 25069088 31336360 62672720 125345440