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124367104 = 28172412
BaseRepresentation
bin1110110100110…
…11000100000000
322200000111121001
413122123010000
5223314221404
620201341344
73040050211
oct732330400
9280014531
10124367104
1164224934
1235797854
131c9c5904
1412735408
15adb97a4
hex769b100

124367104 has 81 divisors (see below), whose sum is σ = 270299071. Its totient is φ = 57098240.

The previous prime is 124367021. The next prime is 124367129. The reversal of 124367104 is 401763421.

The square root of 124367104 is 11152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8761600 + 115605504 = 2960^2 + 10752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3033324 + ... + 3033364.

Almost surely, 2124367104 is an apocalyptic number.

124367104 is the 11152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124367104

124367104 is an abundant number, since it is smaller than the sum of its proper divisors (145931967).

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

124367104 is an frugal number, since it uses more digits than its factorization.

124367104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The cubic root of 124367104 is about 499.1547104431.

The spelling of 124367104 in words is "one hundred twenty-four million, three hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 256 272 289 328 544 578 656 697 1088 1156 1312 1394 1681 2176 2312 2624 2788 3362 4352 4624 5248 5576 6724 9248 10496 11152 11849 13448 18496 22304 23698 26896 28577 36992 44608 47396 53792 57154 73984 89216 94792 107584 114308 178432 189584 215168 228616 379168 430336 457232 485809 758336 914464 971618 1516672 1828928 1943236 3033344 3657856 3886472 7315712 7772944 15545888 31091776 62183552 124367104