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117147264 = 2731331757
BaseRepresentation
bin1101111101110…
…00011010000000
322011102200211120
412332320122000
5214442203024
615342512240
72621510133
oct676703200
9264380746
10117147264
1160143523
1233295680
131b368610
14117b621a
15a440479
hex6fb8680

117147264 has 128 divisors (see below), whose sum is σ = 346375680. Its totient is φ = 34836480.

The previous prime is 117147263. The next prime is 117147271. The reversal of 117147264 is 462741711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117147263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154374 + ... + 155130.

It is an arithmetic number, because the mean of its divisors is an integer number (2706060).

Almost surely, 2117147264 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 117147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173187840).

117147264 is an abundant number, since it is smaller than the sum of its proper divisors (229228416).

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

117147264 is a wasteful number, since it uses less digits than its factorization.

117147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 806 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 117147264 is about 10823.4589665227. The cubic root of 117147264 is about 489.3024421165.

Adding to 117147264 its reverse (462741711), we get a palindrome (579888975).

The spelling of 117147264 in words is "one hundred seventeen million, one hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 757 806 832 992 1209 1248 1488 1514 1612 1664 1984 2271 2418 2496 2976 3028 3224 3968 4542 4836 4992 5952 6056 6448 9084 9672 9841 11904 12112 12896 18168 19344 19682 23467 24224 25792 29523 36336 38688 39364 46934 48448 51584 59046 70401 72672 77376 78728 93868 96896 118092 140802 145344 154752 157456 187736 236184 281604 290688 305071 314912 375472 472368 563208 610142 629824 750944 915213 944736 1126416 1220284 1259648 1501888 1830426 1889472 2252832 2440568 3003776 3660852 3778944 4505664 4881136 7321704 9011328 9762272 14643408 19524544 29286816 39049088 58573632 117147264