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117035328 = 2631494091
BaseRepresentation
bin1101111100111…
…01000101000000
322011020000021210
412332131011000
5214430112303
615340250120
72620532604
oct676350500
9264200253
10117035328
1160077413
1233240940
131b329697
1411787504
15a41c203
hex6f9d140

117035328 has 56 divisors (see below), whose sum is σ = 311810400. Its totient is φ = 38740480.

The previous prime is 117035299. The next prime is 117035333. The reversal of 117035328 is 823530711.

It is a junction number, because it is equal to n+sod(n) for n = 117035295 and 117035304.

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 7 ways as a sum of consecutive naturals, for example, 26563 + ... + 30653.

Almost surely, 2117035328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155905200).

117035328 is an abundant number, since it is smaller than the sum of its proper divisors (194775072).

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

117035328 is a wasteful number, since it uses less digits than its factorization.

117035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 117035328 is about 10818.2867405149. The cubic root of 117035328 is about 489.1465471337.

The spelling of 117035328 in words is "one hundred seventeen million, thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2384 3576 4091 4768 7152 8182 9536 12273 14304 16364 24546 28608 32728 49092 65456 98184 130912 196368 261824 392736 609559 785472 1219118 1828677 2438236 3657354 4876472 7314708 9752944 14629416 19505888 29258832 39011776 58517664 117035328