Search a number
-
+
104252240 = 24519107641
BaseRepresentation
bin1100011011011…
…00001101010000
321021011120012002
412031230031100
5203142032430
614202253132
72404062251
oct615541520
9237146162
10104252240
1153936284
122aab71a8
13187a2121
14dbbab28
159244845
hex636c350

104252240 has 80 divisors (see below), whose sum is σ = 257929920. Its totient is φ = 39075840.

The previous prime is 104252237. The next prime is 104252243. The reversal of 104252240 is 42252401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104252237) and next prime (104252243).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104252243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162320 + ... + 162960.

It is an arithmetic number, because the mean of its divisors is an integer number (3224124).

Almost surely, 2104252240 is an apocalyptic number.

104252240 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 104252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128964960).

104252240 is an abundant number, since it is smaller than the sum of its proper divisors (153677680).

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

104252240 is a wasteful number, since it uses less digits than its factorization.

104252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

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

The square root of 104252240 is about 10210.3986210138. The cubic root of 104252240 is about 470.6468233183.

The spelling of 104252240 in words is "one hundred four million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 107 152 190 214 304 380 428 535 641 760 856 1070 1282 1520 1712 2033 2140 2564 3205 4066 4280 5128 6410 8132 8560 10165 10256 12179 12820 16264 20330 24358 25640 32528 40660 48716 51280 60895 68587 81320 97432 121790 137174 162640 194864 243580 274348 342935 487160 548696 685870 974320 1097392 1303153 1371740 2606306 2743480 5212612 5486960 6515765 10425224 13031530 20850448 26063060 52126120 104252240