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117412064 = 25711172803
BaseRepresentation
bin1101111111110…
…01000011100000
322011221011001222
412333321003200
5220024141224
615352314212
72623662140
oct677710340
9264834058
10117412064
1160304470
12333a2968
131b42bcc3
1411844920
15a493b5e
hex6ff90e0

117412064 has 96 divisors (see below), whose sum is σ = 305254656. Its totient is φ = 43038720.

The previous prime is 117412051. The next prime is 117412103. The reversal of 117412064 is 460214711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40487 + ... + 43289.

It is an arithmetic number, because the mean of its divisors is an integer number (3179736).

Almost surely, 2117412064 is an apocalyptic number.

117412064 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 117412064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152627328).

117412064 is an abundant number, since it is smaller than the sum of its proper divisors (187842592).

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

117412064 is a wasteful number, since it uses less digits than its factorization.

117412064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 117412064 is about 10835.6847499362. The cubic root of 117412064 is about 489.6708382131.

Adding to 117412064 its reverse (460214711), we get a palindrome (577626775).

The spelling of 117412064 in words is "one hundred seventeen million, four hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 476 544 616 748 952 1232 1309 1496 1904 2464 2618 2803 2992 3808 5236 5606 5984 10472 11212 19621 20944 22424 30833 39242 41888 44848 47651 61666 78484 89696 95302 123332 156968 190604 215831 246664 313936 333557 381208 431662 493328 524161 627872 667114 762416 863324 986656 1048322 1334228 1524832 1726648 2096644 2668456 3453296 3669127 4193288 5336912 6906592 7338254 8386576 10673824 14676508 16773152 29353016 58706032 117412064