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121380 = 22357172
BaseRepresentation
bin11101101000100100
320011111120
4131220210
512341010
62333540
71013610
oct355044
9204446
10121380
1183216
125a2b0
134332c
1432340
1525e70
hex1da24

121380 has 72 divisors (see below), whose sum is σ = 412608. Its totient is φ = 26112.

The previous prime is 121379. The next prime is 121403. The reversal of 121380 is 83121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 7132 + ... + 7148.

2121380 is an apocalyptic number.

121380 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 121380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206304).

121380 is an abundant number, since it is smaller than the sum of its proper divisors (291228).

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

121380 is a wasteful number, since it uses less digits than its factorization.

121380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 121380 is about 348.3963260426. The cubic root of 121380 is about 49.5125975487.

The spelling of 121380 in words is "one hundred twenty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 289 340 357 420 476 510 578 595 714 867 1020 1156 1190 1428 1445 1734 1785 2023 2380 2890 3468 3570 4046 4335 5780 6069 7140 8092 8670 10115 12138 17340 20230 24276 30345 40460 60690 121380