Search a number
-
+
104278800 = 24352671297
BaseRepresentation
bin1100011011100…
…10101100010000
321021012220121210
412031302230100
5203143410200
614203020120
72404232553
oct615625420
9237186553
10104278800
115395422a
122ab0a640
13187b1242
14dbc669a
15924c650
hex6372b10

104278800 has 120 divisors (see below), whose sum is σ = 339286816. Its totient is φ = 27371520.

The previous prime is 104278787. The next prime is 104278831. The reversal of 104278800 is 8872401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79752 + ... + 81048.

Almost surely, 2104278800 is an apocalyptic number.

104278800 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 104278800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169643408).

104278800 is an abundant number, since it is smaller than the sum of its proper divisors (235008016).

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

104278800 is a wasteful number, since it uses less digits than its factorization.

104278800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 104278800 is about 10211.6991730074. The cubic root of 104278800 is about 470.6867883052.

The spelling of 104278800 in words is "one hundred four million, two hundred seventy-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 134 150 200 201 240 268 300 335 400 402 536 600 670 804 1005 1072 1200 1297 1340 1608 1675 2010 2594 2680 3216 3350 3891 4020 5025 5188 5360 6485 6700 7782 8040 10050 10376 12970 13400 15564 16080 19455 20100 20752 25940 26800 31128 32425 38910 40200 51880 62256 64850 77820 80400 86899 97275 103760 129700 155640 173798 194550 259400 260697 311280 347596 389100 434495 518800 521394 695192 778200 868990 1042788 1303485 1390384 1556400 1737980 2085576 2172475 2606970 3475960 4171152 4344950 5213940 6517425 6951920 8689900 10427880 13034850 17379800 20855760 26069700 34759600 52139400 104278800