Search a number
-
+
104202640 = 24561131163
BaseRepresentation
bin1100011011000…
…00000110010000
321021002001011001
412031200012100
5203133441030
614201231344
72403464533
oct615400620
9237061131
10104202640
1153901a93
122aa92554
1318785689
14dba6a1a
159234cca
hex6360190

104202640 has 80 divisors (see below), whose sum is σ = 249644736. Its totient is φ = 40435200.

The previous prime is 104202629. The next prime is 104202641. The reversal of 104202640 is 46202401.

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

It is not an unprimeable number, because it can be changed into a prime (104202641) 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, 639199 + ... + 639361.

Almost surely, 2104202640 is an apocalyptic number.

104202640 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 104202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124822368).

104202640 is an abundant number, since it is smaller than the sum of its proper divisors (145442096).

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

104202640 is a wasteful number, since it uses less digits than its factorization.

104202640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 104202640 is about 10207.9694356909. The cubic root of 104202640 is about 470.5721717311.

The spelling of 104202640 in words is "one hundred four million, two hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 131 163 244 262 305 326 488 524 610 652 655 815 976 1048 1220 1304 1310 1630 2096 2440 2608 2620 3260 4880 5240 6520 7991 9943 10480 13040 15982 19886 21353 31964 39772 39955 42706 49715 63928 79544 79910 85412 99430 106765 127856 159088 159820 170824 198860 213530 319640 341648 397720 427060 639280 795440 854120 1302533 1708240 2605066 5210132 6512665 10420264 13025330 20840528 26050660 52101320 104202640