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117598096 = 24711531801
BaseRepresentation
bin1110000001001…
…10011110010000
322012021121021001
413000212132100
5220101114341
615400311344
72625365410
oct700463620
9265247231
10117598096
1160421210
1233472554
131b495895
1411892640
15a4cdd31
hex7026790

117598096 has 80 divisors (see below), whose sum is σ = 289588608. Its totient is φ = 44928000.

The previous prime is 117598093. The next prime is 117598123. The reversal of 117598096 is 690895711.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (117598093) 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 15 ways as a sum of consecutive naturals, for example, 64396 + ... + 66196.

Almost surely, 2117598096 is an apocalyptic number.

117598096 is a gapful number since it is divisible by the number (16) 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 117598096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144794304).

117598096 is an abundant number, since it is smaller than the sum of its proper divisors (171990512).

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

117598096 is a wasteful number, since it uses less digits than its factorization.

117598096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The square root of 117598096 is about 10844.2655814029. The cubic root of 117598096 is about 489.9293192511.

The spelling of 117598096 in words is "one hundred seventeen million, five hundred ninety-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 53 56 77 88 106 112 154 176 212 308 371 424 583 616 742 848 1166 1232 1484 1801 2332 2968 3602 4081 4664 5936 7204 8162 9328 12607 14408 16324 19811 25214 28816 32648 39622 50428 65296 79244 95453 100856 138677 158488 190906 201712 277354 316976 381812 554708 668171 763624 1049983 1109416 1336342 1527248 2099966 2218832 2672684 4199932 5345368 7349881 8399864 10690736 14699762 16799728 29399524 58799048 117598096