Search a number
-
+
125348340 = 223513271593
BaseRepresentation
bin1110111100010…
…10100111110100
322201212100121010
413132022213310
5224042121330
620234352220
73051305025
oct736124764
9281770533
10125348340
1164835077
1235b8b670
131cc7a420
141290cc4c
15b0103b0
hex778a9f4

125348340 has 96 divisors (see below), whose sum is σ = 380007936. Its totient is φ = 30689280.

The previous prime is 125348297. The next prime is 125348359. The reversal of 125348340 is 43843521.

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 = 125348298 and 125348307.

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, 211084 + ... + 211676.

It is an arithmetic number, because the mean of its divisors is an integer number (3958416).

Almost surely, 2125348340 is an apocalyptic number.

125348340 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 125348340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190003968).

125348340 is an abundant number, since it is smaller than the sum of its proper divisors (254659596).

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

125348340 is a wasteful number, since it uses less digits than its factorization.

125348340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 125348340 is about 11195.9072879334. The cubic root of 125348340 is about 500.4640225662.

The spelling of 125348340 in words is "one hundred twenty-five million, three hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 271 390 542 593 780 813 1084 1186 1355 1626 1779 2372 2710 2965 3252 3523 3558 4065 5420 5930 7046 7116 7709 8130 8895 10569 11860 14092 15418 16260 17615 17790 21138 23127 30836 35230 35580 38545 42276 46254 52845 70460 77090 92508 105690 115635 154180 160703 211380 231270 321406 462540 482109 642812 803515 964218 1607030 1928436 2089139 2410545 3214060 4178278 4821090 6267417 8356556 9642180 10445695 12534834 20891390 25069668 31337085 41782780 62674170 125348340