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104114010 = 235711133467
BaseRepresentation
bin1100011010010…
…10011101011010
321020220112120110
412031022131122
5203123122020
614155305150
72402645250
oct615123532
9236815513
10104114010
1153851440
122aa4b1b6
1318754230
14db825d0
1592188e0
hex634a75a

104114010 has 128 divisors (see below), whose sum is σ = 335591424. Its totient is φ = 19964160.

The previous prime is 104113993. The next prime is 104114011. The reversal of 104114010 is 10411401.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104114011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28297 + ... + 31763.

It is an arithmetic number, because the mean of its divisors is an integer number (2621808).

Almost surely, 2104114010 is an apocalyptic number.

104114010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104114010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167795712).

104114010 is an abundant number, since it is smaller than the sum of its proper divisors (231477414).

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

104114010 is a wasteful number, since it uses less digits than its factorization.

104114010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 104114010 is about 10203.6272962119. The cubic root of 104114010 is about 470.4387181647.

Adding to 104114010 its reverse (10411401), we get a palindrome (114525411).

It can be divided in two parts, 1041 and 14010, that added together give a palindrome (15051).

The spelling of 104114010 in words is "one hundred four million, one hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 3467 4290 5005 6006 6934 10010 10401 15015 17335 20802 24269 30030 34670 38137 45071 48538 52005 72807 76274 90142 104010 114411 121345 135213 145614 190685 225355 228822 242690 266959 270426 315497 364035 381370 450710 495781 533918 572055 630994 676065 728070 800877 946491 991562 1144110 1334795 1352130 1487343 1577485 1601754 1892982 2478905 2669590 2974686 3154970 3470467 4004385 4732455 4957810 6940934 7436715 8008770 9464910 10411401 14873430 17352335 20822802 34704670 52057005 104114010