Search a number
-
+
104062500 = 22325737
BaseRepresentation
bin1100011001111…
…01111000100100
321020210220220200
412030331320210
5203120000000
614154230500
72402342133
oct614757044
9236726820
10104062500
1153816773
122aa25430
1318736959
14db6b91a
159208500
hex633de24

104062500 has 144 divisors (see below), whose sum is σ = 337694448. Its totient is φ = 27000000.

The previous prime is 104062481. The next prime is 104062507. The reversal of 104062500 is 5260401.

It is a happy number.

104062500 is a `hidden beast` number, since 1 + 0 + 40 + 625 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 96707556 + 7354944 = 9834^2 + 2712^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (104062507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2812482 + ... + 2812518.

Almost surely, 2104062500 is an apocalyptic number.

104062500 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 104062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168847224).

104062500 is an abundant number, since it is smaller than the sum of its proper divisors (233631948).

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

104062500 is an frugal number, since it uses more digits than its factorization.

104062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 104062500 is about 10201.1028815516. The cubic root of 104062500 is about 470.3611227935.

The spelling of 104062500 in words is "one hundred four million, sixty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 125 148 150 180 185 222 225 250 300 333 370 375 444 450 500 555 625 666 740 750 900 925 1110 1125 1250 1332 1500 1665 1850 1875 2220 2250 2500 2775 3125 3330 3700 3750 4500 4625 5550 5625 6250 6660 7500 8325 9250 9375 11100 11250 12500 13875 15625 16650 18500 18750 22500 23125 27750 28125 31250 33300 37500 41625 46250 46875 55500 56250 62500 69375 78125 83250 92500 93750 112500 115625 138750 140625 156250 166500 187500 208125 231250 234375 277500 281250 312500 346875 416250 462500 468750 562500 578125 693750 703125 832500 937500 1040625 1156250 1387500 1406250 1734375 2081250 2312500 2812500 2890625 3468750 4162500 5203125 5781250 6937500 8671875 10406250 11562500 17343750 20812500 26015625 34687500 52031250 104062500