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104452400 = 24521353379
BaseRepresentation
bin1100011100111…
…01000100110000
321021112201202102
412032131010300
5203214434100
614210435532
72405554643
oct616350460
9237481672
10104452400
1153a626a8
122ab92ba8
1318842270
14dc2da5a
159283cd5
hex639d130

104452400 has 120 divisors (see below), whose sum is σ = 276076080. Its totient is φ = 37739520.

The previous prime is 104452393. The next prime is 104452433. The reversal of 104452400 is 4254401.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 275411 + ... + 275789.

It is an arithmetic number, because the mean of its divisors is an integer number (2300634).

Almost surely, 2104452400 is an apocalyptic number.

104452400 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 104452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138038040).

104452400 is an abundant number, since it is smaller than the sum of its proper divisors (171623680).

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

104452400 is a wasteful number, since it uses less digits than its factorization.

104452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 104452400 is about 10220.1956928427. The cubic root of 104452400 is about 470.9478382499.

The spelling of 104452400 in words is "one hundred four million, four hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 53 65 80 100 104 106 130 200 208 212 260 265 325 379 400 424 520 530 650 689 758 848 1040 1060 1300 1325 1378 1516 1895 2120 2600 2650 2756 3032 3445 3790 4240 4927 5200 5300 5512 6064 6890 7580 9475 9854 10600 11024 13780 15160 17225 18950 19708 20087 21200 24635 27560 30320 34450 37900 39416 40174 49270 55120 68900 75800 78832 80348 98540 100435 123175 137800 151600 160696 197080 200870 246350 261131 275600 321392 394160 401740 492700 502175 522262 803480 985400 1004350 1044524 1305655 1606960 1970800 2008700 2089048 2611310 4017400 4178096 5222620 6528275 8034800 10445240 13056550 20890480 26113100 52226200 104452400