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122670 = 23252947
BaseRepresentation
bin11101111100101110
320020021100
4131330232
512411140
62343530
71020432
oct357456
9206240
10122670
1184189
125aba6
1343ab2
14329c2
1526530
hex1df2e

122670 has 48 divisors (see below), whose sum is σ = 336960. Its totient is φ = 30912.

The previous prime is 122663. The next prime is 122693. The reversal of 122670 is 76221.

It is a happy number.

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

It is a congruent number.

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, 2587 + ... + 2633.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2122670 is an apocalyptic number.

122670 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 122670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

122670 is an abundant number, since it is smaller than the sum of its proper divisors (214290).

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

122670 is a wasteful number, since it uses less digits than its factorization.

122670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

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

The square root of 122670 is about 350.2427729447. The cubic root of 122670 is about 49.6873828169.

Adding to 122670 its reverse (76221), we get a palindrome (198891).

It can be divided in two parts, 1226 and 70, that added together give a 4-th power (1296 = 64).

The spelling of 122670 in words is "one hundred twenty-two thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 47 58 87 90 94 141 145 174 235 261 282 290 423 435 470 522 705 846 870 1305 1363 1410 2115 2610 2726 4089 4230 6815 8178 12267 13630 20445 24534 40890 61335 122670