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117414272 = 272947673
BaseRepresentation
bin1101111111110…
…01100110000000
322011221021002202
412333321212000
5220024224042
615352332332
72624001443
oct677714600
9264837082
10117414272
1160306098
12333a40a8
131b430001
141184565a
15a494632
hex6ff9980

117414272 has 64 divisors (see below), whose sum is σ = 247492800. Its totient is φ = 55394304.

The previous prime is 117414263. The next prime is 117414277. The reversal of 117414272 is 272414711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1174142722 = 27572222538579968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117414277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174128 + ... + 174800.

It is an arithmetic number, because the mean of its divisors is an integer number (3867075).

Almost surely, 2117414272 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 117414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123746400).

117414272 is an abundant number, since it is smaller than the sum of its proper divisors (130078528).

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

117414272 is an equidigital number, since it uses as much as digits as its factorization.

117414272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

The product of its digits is 3136, while the sum is 29.

The square root of 117414272 is about 10835.7866350349. The cubic root of 117414272 is about 489.6739077058.

Adding to 117414272 its reverse (272414711), we get a palindrome (389828983).

The spelling of 117414272 in words is "one hundred seventeen million, four hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 188 232 376 464 673 752 928 1346 1363 1504 1856 2692 2726 3008 3712 5384 5452 6016 10768 10904 19517 21536 21808 31631 39034 43072 43616 63262 78068 86144 87232 126524 156136 174464 253048 312272 506096 624544 917299 1012192 1249088 1834598 2024384 2498176 3669196 4048768 7338392 14676784 29353568 58707136 117414272