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104119992 = 2334413919
BaseRepresentation
bin1100011010010…
…11111010111000
321020220211210000
412031023322320
5203123314432
614155353000
72403001554
oct615137270
9236824700
10104119992
1153855989
122aa52760
1318756b82
14db84864
15921a57c
hex634beb8

104119992 has 80 divisors (see below), whose sum is σ = 298821600. Its totient is φ = 33851520.

The previous prime is 104119969. The next prime is 104120039. The reversal of 104119992 is 299911401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24609 + ... + 28527.

It is an arithmetic number, because the mean of its divisors is an integer number (3735270).

Almost surely, 2104119992 is an apocalyptic number.

104119992 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 104119992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149410800).

104119992 is an abundant number, since it is smaller than the sum of its proper divisors (194701608).

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

104119992 is a wasteful number, since it uses less digits than its factorization.

104119992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 104119992 is about 10203.9204230531. The cubic root of 104119992 is about 470.4477278728.

It can be divided in two parts, 104119 and 992, that added together give a triangular number (105111 = T458).

The spelling of 104119992 in words is "one hundred four million, one hundred nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 3919 4428 6642 7838 8856 11757 13284 15676 23514 26568 31352 35271 47028 70542 94056 105813 141084 160679 211626 282168 317439 321358 423252 482037 634878 642716 846504 964074 1269756 1285432 1446111 1928148 2539512 2892222 3856296 4338333 5784444 8676666 11568888 13014999 17353332 26029998 34706664 52059996 104119992