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117918304 = 2572157479
BaseRepresentation
bin1110000011101…
…00101001100000
322012212212111121
413001310221200
5220141341204
615411222024
72631201100
oct701645140
9265785447
10117918304
116061a849
12335a7914
131b57855a
1411937200
15a543b54
hex7074a60

117918304 has 72 divisors (see below), whose sum is σ = 272341440. Its totient is φ = 50109696.

The previous prime is 117918301. The next prime is 117918329. The reversal of 117918304 is 403819711.

It is a self number, because there is not a number n which added to its sum of digits gives 117918304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117918301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245937 + ... + 246415.

It is an arithmetic number, because the mean of its divisors is an integer number (3782520).

Almost surely, 2117918304 is an apocalyptic number.

117918304 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 117918304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136170720).

117918304 is an abundant number, since it is smaller than the sum of its proper divisors (154423136).

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

117918304 is a wasteful number, since it uses less digits than its factorization.

117918304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 117918304 is about 10859.0194769141. The cubic root of 117918304 is about 490.3735926389.

The spelling of 117918304 in words is "one hundred seventeen million, nine hundred eighteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 157 196 224 314 392 479 628 784 958 1099 1256 1568 1916 2198 2512 3353 3832 4396 5024 6706 7664 7693 8792 13412 15328 15386 17584 23471 26824 30772 35168 46942 53648 61544 75203 93884 107296 123088 150406 187768 246176 300812 375536 526421 601624 751072 1052842 1203248 2105684 2406496 3684947 4211368 7369894 8422736 14739788 16845472 29479576 58959152 117918304