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11920104 = 2332767353
BaseRepresentation
bin101101011110…
…001011101000
3211102121022100
4231132023220
511022420404
61103253400
7203214330
oct55361350
924377270
1011920104
116801829
123baa260
132614821
1418240c0
1510a6d39
hexb5e2e8

11920104 has 96 divisors (see below), whose sum is σ = 37552320. Its totient is φ = 3345408.

The previous prime is 11920081. The next prime is 11920123. The reversal of 11920104 is 40102911.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33592 + ... + 33944.

It is an arithmetic number, because the mean of its divisors is an integer number (391170).

Almost surely, 211920104 is an apocalyptic number.

11920104 is a gapful number since it is divisible by the number (14) 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 11920104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18776160).

11920104 is an abundant number, since it is smaller than the sum of its proper divisors (25632216).

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

11920104 is a wasteful number, since it uses less digits than its factorization.

11920104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11920104 is about 3452.5503616892. The cubic root of 11920104 is about 228.4336161815.

The spelling of 11920104 in words is "eleven million, nine hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 353 402 469 504 536 603 706 804 938 1059 1206 1407 1412 1608 1876 2118 2412 2471 2814 2824 3177 3752 4221 4236 4824 4942 5628 6354 7413 8442 8472 9884 11256 12708 14826 16884 19768 22239 23651 25416 29652 33768 44478 47302 59304 70953 88956 94604 141906 165557 177912 189208 212859 283812 331114 425718 496671 567624 662228 851436 993342 1324456 1490013 1702872 1986684 2980026 3973368 5960052 11920104