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114854088 = 233192347233
BaseRepresentation
bin1101101100010…
…00100011001000
322000010012012010
412312020203020
5213400312323
615221415520
72563146366
oct666104310
9260105163
10114854088
1159917638
123256a5a0
131aa448cb
141137a636
15a13ac93
hex6d888c8

114854088 has 128 divisors (see below), whose sum is σ = 323481600. Its totient is φ = 33808896.

The previous prime is 114854029. The next prime is 114854149. The reversal of 114854088 is 880458411.

It is a Cunningham number, because it is equal to 107172-1.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 492820 + ... + 493052.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2114854088 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 114854088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

114854088 is an abundant number, since it is smaller than the sum of its proper divisors (208627512).

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

114854088 is a wasteful number, since it uses less digits than its factorization.

114854088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 114854088 is about 10716.9999533452. Note that the first 4 decimals coincide. The cubic root of 114854088 is about 486.0886559462.

The spelling of 114854088 in words is "one hundred fourteen million, eight hundred fifty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 47 57 69 76 92 94 114 138 141 152 184 188 228 233 276 282 376 437 456 466 552 564 699 874 893 932 1081 1128 1311 1398 1748 1786 1864 2162 2622 2679 2796 3243 3496 3572 4324 4427 5244 5358 5359 5592 6486 7144 8648 8854 10488 10716 10718 10951 12972 13281 16077 17708 20539 21432 21436 21902 25944 26562 32154 32853 35416 41078 42872 43804 53124 61617 64308 65706 82156 87608 101821 106248 123234 128616 131412 164312 203642 208069 246468 251873 262824 305463 407284 416138 492936 503746 610926 624207 755619 814568 832276 1007492 1221852 1248414 1511238 1664552 2014984 2443704 2496828 3022476 4785587 4993656 6044952 9571174 14356761 19142348 28713522 38284696 57427044 114854088