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121464 = 23327241
BaseRepresentation
bin11101101001111000
320011121200
4131221320
512341324
62334200
71014060
oct355170
9204550
10121464
1183292
125a360
1343395
14323a0
1525ec9
hex1da78

121464 has 48 divisors (see below), whose sum is σ = 377520. Its totient is φ = 34560.

The previous prime is 121453. The next prime is 121469. The reversal of 121464 is 464121.

Adding to 121464 its reverse (464121), we get a palindrome (585585).

It can be divided in two parts, 12146 and 4, that multiplied together give a palindrome (48584).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 121464.

It is not an unprimeable number, because it can be changed into a prime (121469) by changing a digit.

121464 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 11 ways as a sum of consecutive naturals, for example, 384 + ... + 624.

It is an arithmetic number, because the mean of its divisors is an integer number (7865).

2121464 is an apocalyptic number.

121464 is a gapful number since it is divisible by the number (14) 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 121464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188760).

121464 is an abundant number, since it is smaller than the sum of its proper divisors (256056).

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

121464 is a wasteful number, since it uses less digits than its factorization.

121464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 253 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 121464 is about 348.5168575550. The cubic root of 121464 is about 49.5240165061.

The spelling of 121464 in words is "one hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 241 252 482 504 723 964 1446 1687 1928 2169 2892 3374 4338 5061 5784 6748 8676 10122 13496 15183 17352 20244 30366 40488 60732 121464