Search a number
-
+
122426180 = 22517259359
BaseRepresentation
bin1110100110000…
…01001101000100
322112100220010222
413103001031010
5222320114210
620052003512
73014414432
oct723011504
9275326128
10122426180
1163119668
1235000598
131c496336
141238bd52
15ab34655
hex74c1344

122426180 has 72 divisors (see below), whose sum is σ = 278510400. Its totient is φ = 45182464.

The previous prime is 122426179. The next prime is 122426189. The reversal of 122426180 is 81624221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122426189) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 340841 + ... + 341199.

It is an arithmetic number, because the mean of its divisors is an integer number (3868200).

Almost surely, 2122426180 is an apocalyptic number.

122426180 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 122426180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139255200).

122426180 is an abundant number, since it is smaller than the sum of its proper divisors (156084220).

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

122426180 is a wasteful number, since it uses less digits than its factorization.

122426180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 122426180 is about 11064.6364603633. The cubic root of 122426180 is about 496.5444128529.

The spelling of 122426180 in words is "one hundred twenty-two million, four hundred twenty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 289 295 340 359 578 590 718 1003 1156 1180 1436 1445 1795 2006 2890 3590 4012 5015 5780 6103 7180 10030 12206 17051 20060 21181 24412 30515 34102 42362 61030 68204 84724 85255 103751 105905 122060 170510 207502 211810 341020 360077 415004 423620 518755 720154 1037510 1440308 1800385 2075020 3600770 6121309 7201540 12242618 24485236 30606545 61213090 122426180