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124887040 = 21353049
BaseRepresentation
bin1110111000110…
…10000000000000
322200222220210221
413130122000000
5223432341130
620220432424
73044344105
oct734320000
9280886727
10124887040
116454a533
12359a8714
131cb48475
141282caac
15ae6d87a
hex771a000

124887040 has 56 divisors (see below), whose sum is σ = 299808900. Its totient is φ = 49938432.

The previous prime is 124887023. The next prime is 124887041. The reversal of 124887040 is 40788421.

It can be written as a sum of positive squares in 2 ways, for example, as 114233344 + 10653696 = 10688^2 + 3264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 124886987 and 124887005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124887041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39436 + ... + 42484.

Almost surely, 2124887040 is an apocalyptic number.

124887040 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 124887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149904450).

124887040 is an abundant number, since it is smaller than the sum of its proper divisors (174921860).

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

124887040 is an frugal number, since it uses more digits than its factorization.

124887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 124887040 is about 11175.2870209225. The cubic root of 124887040 is about 499.8493412751.

It can be divided in two parts, 1248 and 87040, that added together give a palindrome (88288).

The spelling of 124887040 in words is "one hundred twenty-four million, eight hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 3049 4096 5120 6098 8192 10240 12196 15245 20480 24392 30490 40960 48784 60980 97568 121960 195136 243920 390272 487840 780544 975680 1561088 1951360 3122176 3902720 6244352 7805440 12488704 15610880 24977408 31221760 62443520 124887040