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117142350 = 23521324621
BaseRepresentation
bin1101111101101…
…11001101001110
322011102110002120
412332313031032
5214442023400
615342433410
72621456613
oct676671516
9264373076
10117142350
116013a866
1233292866
131b366300
14117b450a
15a43dca0
hex6fb734e

117142350 has 72 divisors (see below), whose sum is σ = 314647272. Its totient is φ = 28828800.

The previous prime is 117142343. The next prime is 117142351. The reversal of 117142350 is 53241711.

It is a self number, because there is not a number n which added to its sum of digits gives 117142350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117142351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23040 + ... + 27660.

It is an arithmetic number, because the mean of its divisors is an integer number (4370101).

Almost surely, 2117142350 is an apocalyptic number.

117142350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117142350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157323636).

117142350 is an abundant number, since it is smaller than the sum of its proper divisors (197504922).

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

117142350 is a wasteful number, since it uses less digits than its factorization.

117142350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 117142350 is about 10823.2319572298. The cubic root of 117142350 is about 489.2956003980.

The spelling of 117142350 in words is "one hundred seventeen million, one hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 169 195 325 338 390 507 650 845 975 1014 1690 1950 2535 4225 4621 5070 8450 9242 12675 13863 23105 25350 27726 46210 60073 69315 115525 120146 138630 180219 231050 300365 346575 360438 600730 693150 780949 901095 1501825 1561898 1802190 2342847 3003650 3904745 4505475 4685694 7809490 9010950 11714235 19523725 23428470 39047450 58571175 117142350