Search a number
-
+
125454240 = 2532587121
BaseRepresentation
bin1110111101001…
…00011110100000
322202001201212100
413132210132200
5224104013430
620240530400
73052225542
oct736443640
9282051770
10125454240
11648a769a
1236020a00
131ccb66a2
1412939692
15b031960
hex77a47a0

125454240 has 72 divisors (see below), whose sum is σ = 428117508. Its totient is φ = 33454080.

The previous prime is 125454239. The next prime is 125454253. The reversal of 125454240 is 42454521.

It can be written as a sum of positive squares in 2 ways, for example, as 123743376 + 1710864 = 11124^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42121 + ... + 45000.

Almost surely, 2125454240 is an apocalyptic number.

125454240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125454240 is an abundant number, since it is smaller than the sum of its proper divisors (302663268).

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

125454240 is a wasteful number, since it uses less digits than its factorization.

125454240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87142 (or 87131 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 125454240 is about 11200.6356962451. The cubic root of 125454240 is about 500.6049211789.

The spelling of 125454240 in words is "one hundred twenty-five million, four hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 87121 174242 261363 348484 435605 522726 696968 784089 871210 1045452 1306815 1393936 1568178 1742420 2090904 2613630 2787872 3136356 3484840 3920445 4181808 5227260 6272712 6969680 7840890 8363616 10454520 12545424 13939360 15681780 20909040 25090848 31363560 41818080 62727120 125454240