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118900404 = 223271921307
BaseRepresentation
bin1110001011001…
…00011010110100
322021201202200200
413011210122310
5220414303104
615444240500
72642431260
oct705443264
9267652620
10118900404
11611306a7
12339a0130
131b83058c
1411b110a0
15a689b39
hex71646b4

118900404 has 108 divisors (see below), whose sum is σ = 362797344. Its totient is φ = 32158944.

The previous prime is 118900393. The next prime is 118900417. The reversal of 118900404 is 404009811.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 90319 + ... + 91625.

Almost surely, 2118900404 is an apocalyptic number.

118900404 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 118900404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181398672).

118900404 is an abundant number, since it is smaller than the sum of its proper divisors (243896940).

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

118900404 is a wasteful number, since it uses less digits than its factorization.

118900404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 118900404 is about 10904.1461839064. The cubic root of 118900404 is about 491.7312134863.

The spelling of 118900404 in words is "one hundred eighteen million, nine hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 361 399 532 684 722 798 1083 1197 1307 1444 1596 2166 2394 2527 2614 3249 3921 4332 4788 5054 5228 6498 7581 7842 9149 10108 11763 12996 15162 15684 18298 22743 23526 24833 27447 30324 36596 45486 47052 49666 54894 74499 82341 90972 99332 109788 148998 164682 173831 223497 297996 329364 347662 446994 471827 521493 695324 893988 943654 1042986 1415481 1564479 1887308 2085972 2830962 3128958 3302789 4246443 5661924 6257916 6605578 8492886 9908367 13211156 16985772 19816734 29725101 39633468 59450202 118900404