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104217840 = 243651787
BaseRepresentation
bin1100011011000…
…11110011110000
321021002211000000
412031203303300
5203134432330
614201430000
72403560046
oct615436360
9237084000
10104217840
1153912451
122aa9b300
131878c57c
14dbac396
159239560
hex6363cf0

104217840 has 140 divisors (see below), whose sum is σ = 363496824. Its totient is φ = 27775872.

The previous prime is 104217833. The next prime is 104217857. The reversal of 104217840 is 48712401.

It is a super-2 number, since 2×1042178402 = 21722716348531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57427 + ... + 59213.

Almost surely, 2104217840 is an apocalyptic number.

104217840 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 104217840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181748412).

104217840 is an abundant number, since it is smaller than the sum of its proper divisors (259278984).

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

104217840 is an equidigital number, since it uses as much as digits as its factorization.

104217840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 104217840 is about 10208.7139248781. The cubic root of 104217840 is about 470.5950513474.

The spelling of 104217840 in words is "one hundred four million, two hundred seventeen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1787 1944 2160 2430 2916 3240 3574 3645 3888 4860 5361 5832 6480 7148 7290 8935 9720 10722 11664 14296 14580 16083 17870 19440 21444 26805 28592 29160 32166 35740 42888 48249 53610 58320 64332 71480 80415 85776 96498 107220 128664 142960 144747 160830 192996 214440 241245 257328 289494 321660 385992 428880 434241 482490 578988 643320 723735 771984 868482 964980 1157976 1286640 1302723 1447470 1736964 1929960 2171205 2315952 2605446 2894940 3473928 3859920 4342410 5210892 5789880 6513615 6947856 8684820 10421784 11579760 13027230 17369640 20843568 26054460 34739280 52108920 104217840