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117147520 = 275779331
BaseRepresentation
bin1101111101110…
…00011110000000
322011102201012001
412332320132000
5214442210040
615342513344
72621510650
oct676703600
9264381161
10117147520
1160143736
1233295854
131b368779
14117b6360
15a44059a
hex6fb8780

117147520 has 128 divisors (see below), whose sum is σ = 325094400. Its totient is φ = 39536640.

The previous prime is 117147517. The next prime is 117147623. The reversal of 117147520 is 25741711.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353755 + ... + 354085.

It is an arithmetic number, because the mean of its divisors is an integer number (2539800).

Almost surely, 2117147520 is an apocalyptic number.

117147520 is a gapful number since it is divisible by the number (10) 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 117147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162547200).

117147520 is an abundant number, since it is smaller than the sum of its proper divisors (207946880).

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

117147520 is an equidigital number, since it uses as much as digits as its factorization.

117147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 117147520 is about 10823.4707926801. The cubic root of 117147520 is about 489.3027985378.

The spelling of 117147520 in words is "one hundred seventeen million, one hundred forty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 79 80 112 128 140 158 160 224 280 316 320 331 395 448 553 560 632 640 662 790 896 1106 1120 1264 1324 1580 1655 2212 2240 2317 2528 2648 2765 3160 3310 4424 4480 4634 5056 5296 5530 6320 6620 8848 9268 10112 10592 11060 11585 12640 13240 17696 18536 21184 22120 23170 25280 26149 26480 35392 37072 42368 44240 46340 50560 52298 52960 70784 74144 88480 92680 104596 105920 130745 148288 176960 183043 185360 209192 211840 261490 296576 353920 366086 370720 418384 522980 732172 741440 836768 915215 1045960 1464344 1482880 1673536 1830430 2091920 2928688 3347072 3660860 4183840 5857376 7321720 8367680 11714752 14643440 16735360 23429504 29286880 58573760 117147520