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117794688 = 2731179353
BaseRepresentation
bin1110000010101…
…10011110000000
322012122120221020
413001112132000
5220123412223
615404425440
72630144514
oct701263600
9265576836
10117794688
1160545990
1233548280
131b5341cb
1411904144
15a51c1e3
hex7056780

117794688 has 128 divisors (see below), whose sum is σ = 346636800. Its totient is φ = 35143680.

The previous prime is 117794687. The next prime is 117794689. The reversal of 117794688 is 886497711.

It is an interprime number because it is at equal distance from previous prime (117794687) and next prime (117794689).

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (677376) is a multiple of the sum of its prime divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 117794688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117794687) 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, 333520 + ... + 333872.

It is an arithmetic number, because the mean of its divisors is an integer number (2708100).

Almost surely, 2117794688 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 117794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173318400).

117794688 is an abundant number, since it is smaller than the sum of its proper divisors (228842112).

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

117794688 is a wasteful number, since it uses less digits than its factorization.

117794688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its digits is 677376, while the sum is 51.

The square root of 117794688 is about 10853.3261261237. The cubic root of 117794688 is about 490.2021767386.

The spelling of 117794688 in words is "one hundred seventeen million, seven hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 128 132 158 176 192 237 264 316 352 353 384 474 528 632 704 706 869 948 1056 1059 1264 1408 1412 1738 1896 2112 2118 2528 2607 2824 3476 3792 3883 4224 4236 5056 5214 5648 6952 7584 7766 8472 10112 10428 11296 11649 13904 15168 15532 16944 20856 22592 23298 27808 27887 30336 31064 33888 41712 45184 46596 55616 55774 62128 67776 83424 83661 93192 111232 111548 124256 135552 166848 167322 186384 223096 248512 306757 333696 334644 372768 446192 497024 613514 669288 745536 892384 920271 1227028 1338576 1491072 1784768 1840542 2454056 2677152 3569536 3681084 4908112 5354304 7362168 9816224 10708608 14724336 19632448 29448672 39264896 58897344 117794688