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117808824 = 233753101131
BaseRepresentation
bin1110000010110…
…01111010111000
322012200022022210
413001121322320
5220124340244
615405015120
72630233650
oct701317270
9265608283
10117808824
1160555571
12335544a0
131b53a783
1411909360
15a5214b9
hex7059eb8

117808824 has 128 divisors (see below), whose sum is σ = 348986880. Its totient is φ = 32448000.

The previous prime is 117808811. The next prime is 117808843. The reversal of 117808824 is 428808711.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899239 + ... + 899369.

It is an arithmetic number, because the mean of its divisors is an integer number (2726460).

Almost surely, 2117808824 is an apocalyptic number.

117808824 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 117808824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174493440).

117808824 is an abundant number, since it is smaller than the sum of its proper divisors (231178056).

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

117808824 is a wasteful number, since it uses less digits than its factorization.

117808824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 117808824 is about 10853.9773355208. The cubic root of 117808824 is about 490.2217849256.

The spelling of 117808824 in words is "one hundred seventeen million, eight hundred eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 101 106 131 159 168 202 212 262 303 318 371 393 404 424 524 606 636 707 742 786 808 917 1048 1113 1212 1272 1414 1484 1572 1834 2121 2226 2424 2751 2828 2968 3144 3668 4242 4452 5353 5502 5656 6943 7336 8484 8904 10706 11004 13231 13886 16059 16968 20829 21412 22008 26462 27772 32118 37471 39693 41658 42824 48601 52924 55544 64236 74942 79386 83316 92617 97202 105848 112413 128472 145803 149884 158772 166632 185234 194404 224826 277851 291606 299768 317544 370468 388808 449652 555702 583212 701243 740936 899304 1111404 1166424 1402486 2103729 2222808 2804972 4207458 4908701 5609944 8414916 9817402 14726103 16829832 19634804 29452206 39269608 58904412 117808824