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118921152 = 2637194657
BaseRepresentation
bin1110001011010…
…01011111000000
322021202211011010
413011221133000
5220420434102
615444520520
72642545620
oct705513700
9267684133
10118921152
1161145249
12339b0140
131b839b5c
1411b18880
15a690d6c
hex71697c0

118921152 has 112 divisors (see below), whose sum is σ = 378602240. Its totient is φ = 32182272.

The previous prime is 118921151. The next prime is 118921169. The reversal of 118921152 is 251129811.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118921151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23208 + ... + 27864.

Almost surely, 2118921152 is an apocalyptic number.

118921152 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 118921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189301120).

118921152 is an abundant number, since it is smaller than the sum of its proper divisors (259681088).

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

118921152 is a wasteful number, since it uses less digits than its factorization.

118921152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4688 counting only the distinct ones).

The product of its digits is 1440, while the sum is 30.

The square root of 118921152 is about 10905.0975236354. The cubic root of 118921152 is about 491.7598140222.

The spelling of 118921152 in words is "one hundred eighteen million, nine hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 4657 6384 8512 9314 12768 13971 18628 25536 27942 32599 37256 55884 65198 74512 88483 97797 111768 130396 149024 176966 195594 223536 260792 265449 298048 353932 391188 447072 521584 530898 619381 707864 782376 894144 1043168 1061796 1238762 1415728 1564752 1858143 2086336 2123592 2477524 2831456 3129504 3716286 4247184 4955048 5662912 6259008 7432572 8494368 9910096 14865144 16988736 19820192 29730288 39640384 59460576 118921152