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104950188 = 22337294787
BaseRepresentation
bin1100100000101…
…10100110101100
321022111000121000
412100112212230
5203331401223
614225240300
72413030140
oct620264654
9238430530
10104950188
11542726a2
122b193090
1318987a05
14dd1d220
159331543
hex64169ac

104950188 has 96 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 28945728.

The previous prime is 104950177. The next prime is 104950189. The reversal of 104950188 is 881059401.

It is a super-2 number, since 2×1049501882 = 22029083922470688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104950189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19531 + ... + 24317.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2104950188 is an apocalyptic number.

104950188 is a gapful number since it is divisible by the number (18) 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 104950188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

104950188 is an abundant number, since it is smaller than the sum of its proper divisors (216803412).

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

104950188 is a wasteful number, since it uses less digits than its factorization.

104950188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 104950188 is about 10244.5199009031. The cubic root of 104950188 is about 471.6947837639.

The spelling of 104950188 in words is "one hundred four million, nine hundred fifty thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2436 3132 3654 4787 5481 7308 9574 10962 14361 19148 21924 28722 33509 43083 57444 67018 86166 100527 129249 134036 138823 172332 201054 258498 277646 301581 402108 416469 516996 555292 603162 832938 904743 971761 1206324 1249407 1665876 1809486 1943522 2498814 2915283 3618972 3748221 3887044 4997628 5830566 7496442 8745849 11661132 14992884 17491698 26237547 34983396 52475094 104950188