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124230016 = 2717371543
BaseRepresentation
bin1110110011110…
…01100110000000
322122202112112201
413121321212000
5223300330031
620154402544
73035636431
oct731714600
9278675481
10124230016
1164140939
1235730454
131c9783b1
14126db488
15ad8dd61
hex7679980

124230016 has 64 divisors (see below), whose sum is σ = 269304480. Its totient is φ = 56844288.

The previous prime is 124229983. The next prime is 124230031. The reversal of 124230016 is 610032421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 124229975 and 124230002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79741 + ... + 81283.

Almost surely, 2124230016 is an apocalyptic number.

124230016 is a gapful number since it is divisible by the number (16) 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 124230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134652240).

124230016 is an abundant number, since it is smaller than the sum of its proper divisors (145074464).

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

124230016 is a wasteful number, since it uses less digits than its factorization.

124230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 124230016 is about 11145.8519638474. The cubic root of 124230016 is about 498.9712394217.

Adding to 124230016 its reverse (610032421), we get a palindrome (734262437).

The spelling of 124230016 in words is "one hundred twenty-four million, two hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 272 296 544 592 629 1088 1184 1258 1543 2176 2368 2516 3086 4736 5032 6172 10064 12344 20128 24688 26231 40256 49376 52462 57091 80512 98752 104924 114182 197504 209848 228364 419696 456728 839392 913456 970547 1678784 1826912 1941094 3357568 3653824 3882188 7307648 7764376 15528752 31057504 62115008 124230016