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117281232 = 243217232083
BaseRepresentation
bin1101111110110…
…01000111010000
322011200111121100
412333121013100
5220010444412
615345424400
72622605535
oct677310720
9264614540
10117281232
1160225142
123333b100
131b3b45a3
141180cd8c
15a469edc
hex6fd91d0

117281232 has 120 divisors (see below), whose sum is σ = 362816064. Its totient is φ = 35177472.

The previous prime is 117281221. The next prime is 117281233. The reversal of 117281232 is 232182711.

It is a junction number, because it is equal to n+sod(n) for n = 117281196 and 117281205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117281233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55263 + ... + 57345.

Almost surely, 2117281232 is an apocalyptic number.

117281232 is a gapful number since it is divisible by the number (12) 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 117281232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181408032).

117281232 is an abundant number, since it is smaller than the sum of its proper divisors (245534832).

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

117281232 is a wasteful number, since it uses less digits than its factorization.

117281232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2128 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 117281232 is about 10829.6459775932. The cubic root of 117281232 is about 489.4888909090.

The spelling of 117281232 in words is "one hundred seventeen million, two hundred eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 34 36 46 48 51 68 69 72 92 102 136 138 144 153 184 204 207 272 276 306 368 391 408 414 552 612 782 816 828 1104 1173 1224 1564 1656 2083 2346 2448 3128 3312 3519 4166 4692 6249 6256 7038 8332 9384 12498 14076 16664 18747 18768 24996 28152 33328 35411 37494 47909 49992 56304 70822 74988 95818 99984 106233 141644 143727 149976 191636 212466 283288 287454 299952 318699 383272 424932 431181 566576 574908 637398 766544 814453 849864 862362 1149816 1274796 1628906 1699728 1724724 2299632 2443359 2549592 3257812 3449448 4886718 5099184 6515624 6898896 7330077 9773436 13031248 14660154 19546872 29320308 39093744 58640616 117281232