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122490 = 23251361
BaseRepresentation
bin11101111001111010
320020000200
4131321322
512404430
62343030
71020054
oct357172
9206020
10122490
1184035
125aa76
13439a4
14328d4
1526460
hex1de7a

122490 has 24 divisors (see below), whose sum is σ = 318708. Its totient is φ = 32640.

The previous prime is 122489. The next prime is 122497. The reversal of 122490 is 94221.

It can be written as a sum of positive squares in 2 ways, for example, as 114921 + 7569 = 339^2 + 87^2 .

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 (122497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591 + ... + 770.

2122490 is an apocalyptic number.

122490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122490 is an abundant number, since it is smaller than the sum of its proper divisors (196218).

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

122490 is a wasteful number, since it uses less digits than its factorization.

122490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 122490 is about 349.9857139942. The cubic root of 122490 is about 49.6630679694.

The spelling of 122490 in words is "one hundred twenty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1361 2722 4083 6805 8166 12249 13610 20415 24498 40830 61245 122490