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117040152 = 233194347127
BaseRepresentation
bin1101111100111…
…10010000011000
322011020020220110
412332132100120
5214430241102
615340324320
72620552635
oct676362030
9264206813
10117040152
116007aaa9
12332436a0
131b32b938
141178918c
15a41d86c
hex6f9e418

117040152 has 128 divisors (see below), whose sum is σ = 324403200. Its totient is φ = 35054208.

The previous prime is 117040141. The next prime is 117040177. The reversal of 117040152 is 251040711.

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, 921513 + ... + 921639.

It is an arithmetic number, because the mean of its divisors is an integer number (2534400).

Almost surely, 2117040152 is an apocalyptic number.

117040152 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 117040152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162201600).

117040152 is an abundant number, since it is smaller than the sum of its proper divisors (207363048).

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

117040152 is a wasteful number, since it uses less digits than its factorization.

117040152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 117040152 is about 10818.5096940383. The cubic root of 117040152 is about 489.1532676416.

Adding to 117040152 its reverse (251040711), we get a palindrome (368080863).

The spelling of 117040152 in words is "one hundred seventeen million, forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 47 57 76 86 94 114 127 129 141 152 172 188 228 254 258 282 344 376 381 456 508 516 564 762 817 893 1016 1032 1128 1524 1634 1786 2021 2413 2451 2679 3048 3268 3572 4042 4826 4902 5358 5461 5969 6063 6536 7144 7239 8084 9652 9804 10716 10922 11938 12126 14478 16168 16383 17907 19304 19608 21432 21844 23876 24252 28956 32766 35814 38399 43688 47752 48504 57912 65532 71628 76798 103759 113411 115197 131064 143256 153596 207518 226822 230394 256667 307192 311277 340233 415036 453644 460788 513334 622554 680466 770001 830072 907288 921576 1026668 1245108 1360932 1540002 2053336 2490216 2721864 3080004 4876673 6160008 9753346 14630019 19506692 29260038 39013384 58520076 117040152