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104213160 = 233251372113
BaseRepresentation
bin1100011011000…
…10101010101000
321021002120120200
412031202222220
5203134310120
614201352200
72403540312
oct615425250
9237076520
10104213160
1153909987
122aa98660
131878a3bc
14dbaa7b2
159237e90
hex6362aa8

104213160 has 96 divisors (see below), whose sum is σ = 341326440. Its totient is φ = 27574272.

The previous prime is 104213159. The next prime is 104213167. The reversal of 104213160 is 61312401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50893956 + 53319204 = 7134^2 + 7302^2 .

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 (104213167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48264 + ... + 50376.

Almost surely, 2104213160 is an apocalyptic number.

104213160 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 104213160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170663220).

104213160 is an abundant number, since it is smaller than the sum of its proper divisors (237113280).

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

104213160 is a wasteful number, since it uses less digits than its factorization.

104213160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104213160 is about 10208.4847063607. The cubic root of 104213160 is about 470.5880070710.

Adding to 104213160 its reverse (61312401), we get a palindrome (165525561).

The spelling of 104213160 in words is "one hundred four million, two hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1233 1370 1644 2055 2113 2466 2740 3288 4110 4226 4932 5480 6165 6339 8220 8452 9864 10565 12330 12678 16440 16904 19017 21130 24660 25356 31695 38034 42260 49320 50712 63390 76068 84520 95085 126780 152136 190170 253560 289481 380340 578962 760680 868443 1157924 1447405 1736886 2315848 2605329 2894810 3473772 4342215 5210658 5789620 6947544 8684430 10421316 11579240 13026645 17368860 20842632 26053290 34737720 52106580 104213160