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107640 = 233251323
BaseRepresentation
bin11010010001111000
312110122200
4122101320
511421030
62150200
7625551
oct322170
9173580
10107640
1173965
1252360
1339cc0
142b328
1521d60
hex1a478

107640 has 96 divisors (see below), whose sum is σ = 393120. Its totient is φ = 25344.

The previous prime is 107621. The next prime is 107641. The reversal of 107640 is 46701.

It can be divided in two parts, 107 and 640, that added together give a palindrome (747).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107641) by changing a digit.

107640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4669 + ... + 4691.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2107640 is an apocalyptic number.

107640 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 107640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

107640 is an abundant number, since it is smaller than the sum of its proper divisors (285480).

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

107640 is a wasteful number, since it uses less digits than its factorization.

107640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 107640 is about 328.0853547478. The cubic root of 107640 is about 47.5690592889.

The spelling of 107640 in words is "one hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 23 24 26 30 36 39 40 45 46 52 60 65 69 72 78 90 92 104 115 117 120 130 138 156 180 184 195 207 230 234 260 276 299 312 345 360 390 414 460 468 520 552 585 598 690 780 828 897 920 936 1035 1170 1196 1380 1495 1560 1656 1794 2070 2340 2392 2691 2760 2990 3588 4140 4485 4680 5382 5980 7176 8280 8970 10764 11960 13455 17940 21528 26910 35880 53820 107640