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104179356 = 223219223683
BaseRepresentation
bin1100011010110…
…10011010011100
321021000212012200
412031122122130
5203132214411
614200531500
72403336621
oct615323234
9237025180
10104179356
1153896546
122aa80b90
1318777bb8
14db9c348
15922ce56
hex635a69c

104179356 has 72 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 32703264.

The previous prime is 104179343. The next prime is 104179357. The reversal of 104179356 is 653971401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104179356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104179357) 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, 152191 + ... + 152873.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2104179356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104179356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

104179356 is an abundant number, since it is smaller than the sum of its proper divisors (174673764).

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

104179356 is a wasteful number, since it uses less digits than its factorization.

104179356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 104179356 is about 10206.8288905027. The cubic root of 104179356 is about 470.5371194565.

The spelling of 104179356 in words is "one hundred four million, one hundred seventy-nine thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 223 228 342 446 669 683 684 892 1338 1366 2007 2049 2676 2732 4014 4098 4237 6147 8028 8196 8474 12294 12711 12977 16948 24588 25422 25954 38133 38931 50844 51908 76266 77862 116793 152309 152532 155724 233586 304618 456927 467172 609236 913854 1370781 1827708 2741562 2893871 5483124 5787742 8681613 11575484 17363226 26044839 34726452 52089678 104179356