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121770 = 23351141
BaseRepresentation
bin11101101110101010
320012001000
4131232222
512344040
62335430
71015005
oct355652
9205030
10121770
1183540
125a576
134356c
143253c
1526130
hex1dbaa

121770 has 64 divisors (see below), whose sum is σ = 362880. Its totient is φ = 28800.

The previous prime is 121763. The next prime is 121787. The reversal of 121770 is 77121.

Adding to 121770 its reverse (77121), we get a palindrome (198891).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 121770.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2950 + ... + 2990.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2121770 is an apocalyptic number.

121770 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 121770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

121770 is an abundant number, since it is smaller than the sum of its proper divisors (241110).

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

121770 is a wasteful number, since it uses less digits than its factorization.

121770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 121770 is about 348.9555845663. The cubic root of 121770 is about 49.5655696711.

The spelling of 121770 in words is "one hundred twenty-one thousand, seven hundred seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 41 45 54 55 66 82 90 99 110 123 135 165 198 205 246 270 297 330 369 410 451 495 594 615 738 902 990 1107 1230 1353 1485 1845 2214 2255 2706 2970 3690 4059 4510 5535 6765 8118 11070 12177 13530 20295 24354 40590 60885 121770