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104941312 = 287157373
BaseRepresentation
bin1100100000101…
…00011100000000
321022110120102021
412100110130000
5203331110222
614225131224
72412662230
oct620243400
9238416367
10104941312
1154266a63
122b189b14
1318983968
14dd19cc0
15932dac7
hex6414700

104941312 has 72 divisors (see below), whose sum is σ = 241568096. Its totient is φ = 44568576.

The previous prime is 104941307. The next prime is 104941327. The reversal of 104941312 is 213149401.

It is a happy number.

It is a super-2 number, since 2×1049413122 = 22025357928562688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281158 + ... + 281530.

Almost surely, 2104941312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120784048).

104941312 is an abundant number, since it is smaller than the sum of its proper divisors (136626784).

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

104941312 is an equidigital number, since it uses as much as digits as its factorization.

104941312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 104941312 is about 10244.0866845220. The cubic root of 104941312 is about 471.6814857699.

It can be divided in two parts, 10494 and 1312, that multiplied together give a triangular number (13768128 = T5247).

The spelling of 104941312 in words is "one hundred four million, nine hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 224 256 314 373 448 628 746 896 1099 1256 1492 1792 2198 2512 2611 2984 4396 5024 5222 5968 8792 10048 10444 11936 17584 20096 20888 23872 35168 40192 41776 47744 58561 70336 83552 95488 117122 140672 167104 234244 281344 334208 409927 468488 668416 819854 936976 1639708 1873952 3279416 3747904 6558832 7495808 13117664 14991616 26235328 52470656 104941312