Search a number
-
+
104331192 = 23372791123
BaseRepresentation
bin1100011011111…
…11011110111000
321021022120111020
412031333132320
5203202044232
614204102440
72404541400
oct615773670
9237276436
10104331192
115398a629
122ab34a20
13187cc044
14dbdb800
15925ce2c
hex637f7b8

104331192 has 96 divisors (see below), whose sum is σ = 307526400. Its totient is φ = 29405376.

The previous prime is 104331181. The next prime is 104331209. The reversal of 104331192 is 291133401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92343 + ... + 93465.

It is an arithmetic number, because the mean of its divisors is an integer number (3203400).

Almost surely, 2104331192 is an apocalyptic number.

104331192 is a gapful number since it is divisible by the number (12) 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 104331192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153763200).

104331192 is an abundant number, since it is smaller than the sum of its proper divisors (203195208).

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

104331192 is a wasteful number, since it uses less digits than its factorization.

104331192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 104331192 is about 10214.2641438334. The cubic root of 104331192 is about 470.7656029617.

Adding to 104331192 its reverse (291133401), we get a palindrome (395464593).

The spelling of 104331192 in words is "one hundred four million, three hundred thirty-one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 79 84 98 147 158 168 196 237 294 316 392 474 553 588 632 948 1106 1123 1176 1659 1896 2212 2246 3318 3369 3871 4424 4492 6636 6738 7742 7861 8984 11613 13272 13476 15484 15722 23226 23583 26952 30968 31444 46452 47166 55027 62888 88717 92904 94332 110054 165081 177434 188664 220108 266151 330162 354868 440216 532302 621019 660324 709736 1064604 1242038 1320648 1863057 2129208 2484076 3726114 4347133 4968152 7452228 8694266 13041399 14904456 17388532 26082798 34777064 52165596 104331192