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104416380 = 223251734123
BaseRepresentation
bin1100011100101…
…00010001111100
321021110220100100
412032110101330
5203212311010
614210001100
72405344635
oct616242174
9237426310
10104416380
1153a38632
122ab76190
131882ba53
14dc2088c
1592782c0
hex639447c

104416380 has 72 divisors (see below), whose sum is σ = 335370672. Its totient is φ = 26205696.

The previous prime is 104416379. The next prime is 104416391. The reversal of 104416380 is 83614401.

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 23 ways as a sum of consecutive naturals, for example, 14002 + ... + 20121.

It is an arithmetic number, because the mean of its divisors is an integer number (4657926).

Almost surely, 2104416380 is an apocalyptic number.

104416380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104416380 is an abundant number, since it is smaller than the sum of its proper divisors (230954292).

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

104416380 is a wasteful number, since it uses less digits than its factorization.

104416380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34155 (or 34150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104416380 is about 10218.4333437176. The cubic root of 104416380 is about 470.8936971884.

It can be divided in two parts, 1044 and 16380, that added together give a square (17424 = 1322).

The spelling of 104416380 in words is "one hundred four million, four hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 34123 68246 102369 136492 170615 204738 307107 341230 409476 511845 580091 614214 682460 1023690 1160182 1228428 1535535 1740273 2047380 2320364 2900455 3071070 3480546 5220819 5800910 6142140 6961092 8701365 10441638 11601820 17402730 20883276 26104095 34805460 52208190 104416380