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124113040 = 2452961877
BaseRepresentation
bin1110110010111…
…01000010010000
322122112121002021
413121131002100
5223233104130
620152101224
73034641412
oct731350220
9278477067
10124113040
1164070a67
1235694814
131c93708c
14126aa9b2
15ad6937a
hex765d090

124113040 has 80 divisors (see below), whose sum is σ = 303752880. Its totient is φ = 47093760.

The previous prime is 124113019. The next prime is 124113071. The reversal of 124113040 is 40311421.

It can be written as a sum of positive squares in 8 ways, for example, as 3640464 + 120472576 = 1908^2 + 10976^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 141082 + ... + 141958.

It is an arithmetic number, because the mean of its divisors is an integer number (3796911).

Almost surely, 2124113040 is an apocalyptic number.

124113040 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 124113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151876440).

124113040 is an abundant number, since it is smaller than the sum of its proper divisors (179639840).

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

124113040 is a wasteful number, since it uses less digits than its factorization.

124113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 124113040 is about 11140.6032152662. The cubic root of 124113040 is about 498.8145784392.

Adding to 124113040 its reverse (40311421), we get a palindrome (164424461).

It can be divided in two parts, 12411 and 3040, that added together give a palindrome (15451).

The spelling of 124113040 in words is "one hundred twenty-four million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 61 80 116 122 145 232 244 290 305 464 488 580 610 877 976 1160 1220 1754 1769 2320 2440 3508 3538 4385 4880 7016 7076 8770 8845 14032 14152 17540 17690 25433 28304 35080 35380 50866 53497 70160 70760 101732 106994 127165 141520 203464 213988 254330 267485 406928 427976 508660 534970 855952 1017320 1069940 1551413 2034640 2139880 3102826 4279760 6205652 7757065 12411304 15514130 24822608 31028260 62056520 124113040