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117409680 = 24325179911
BaseRepresentation
bin1101111111110…
…00011110010000
322011221000210200
412333320132100
5220024102210
615352255200
72623652163
oct677703620
9264830720
10117409680
11603026a3
12333a1500
131b42abab
1411843ada
15a4930c0
hex6ff8790

117409680 has 120 divisors (see below), whose sum is σ = 396938880. Its totient is φ = 31100160.

The previous prime is 117409637. The next prime is 117409693. The reversal of 117409680 is 86904711.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128425 + ... + 129335.

It is an arithmetic number, because the mean of its divisors is an integer number (3307824).

Almost surely, 2117409680 is an apocalyptic number.

117409680 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 117409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198469440).

117409680 is an abundant number, since it is smaller than the sum of its proper divisors (279529200).

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

117409680 is a wasteful number, since it uses less digits than its factorization.

117409680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 117409680 is about 10835.5747424860. The cubic root of 117409680 is about 489.6675240074.

The spelling of 117409680 in words is "one hundred seventeen million, four hundred nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 179 180 240 358 360 537 716 720 895 911 1074 1432 1611 1790 1822 2148 2685 2733 2864 3222 3580 3644 4296 4555 5370 5466 6444 7160 7288 8055 8199 8592 9110 10740 10932 12888 13665 14320 14576 16110 16398 18220 21480 21864 25776 27330 32220 32796 36440 40995 42960 43728 54660 64440 65592 72880 81990 109320 128880 131184 163069 163980 218640 326138 327960 489207 652276 655920 815345 978414 1304552 1467621 1630690 1956828 2446035 2609104 2935242 3261380 3913656 4892070 5870484 6522760 7338105 7827312 9784140 11740968 13045520 14676210 19568280 23481936 29352420 39136560 58704840 117409680