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117742200 = 23352613217
BaseRepresentation
bin1110000010010…
…01101001111000
322012112220221020
413001021221320
5220120222300
615403342440
72626535502
oct701115170
9265486836
10117742200
116050a504
1233521a20
131b516354
14118ccd72
15a50b8a0
hex7049a78

117742200 has 96 divisors (see below), whose sum is σ = 371099760. Its totient is φ = 30873600.

The previous prime is 117742199. The next prime is 117742231. The reversal of 117742200 is 2247711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 34992 + ... + 38208.

Almost surely, 2117742200 is an apocalyptic number.

117742200 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 117742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185549880).

117742200 is an abundant number, since it is smaller than the sum of its proper divisors (253357560).

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

117742200 is a wasteful number, since it uses less digits than its factorization.

117742200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 117742200 is about 10850.9077961247. The cubic root of 117742200 is about 490.1293563796.

Adding to 117742200 its reverse (2247711), we get a palindrome (119989911).

The spelling of 117742200 in words is "one hundred seventeen million, seven hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 150 183 200 244 300 305 366 488 600 610 732 915 1220 1464 1525 1830 2440 3050 3217 3660 4575 6100 6434 7320 9150 9651 12200 12868 16085 18300 19302 25736 32170 36600 38604 48255 64340 77208 80425 96510 128680 160850 193020 196237 241275 321700 386040 392474 482550 588711 643400 784948 965100 981185 1177422 1569896 1930200 1962370 2354844 2943555 3924740 4709688 4905925 5887110 7849480 9811850 11774220 14717775 19623700 23548440 29435550 39247400 58871100 117742200