Search a number
-
+
122430042 = 23471071009
BaseRepresentation
bin1110100110000…
…10001001011010
322112101002110000
413103002021122
5222320230132
620052033430
73014431620
oct723021132
9275332400
10122430042
1163121559
1235002876
131c498017
141238d510
15ab3587c
hex74c225a

122430042 has 80 divisors (see below), whose sum is σ = 316768320. Its totient is φ = 34618752.

The previous prime is 122430037. The next prime is 122430043. The reversal of 122430042 is 240034221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122429997 and 122430024.

It is not an unprimeable number, because it can be changed into a prime (122430043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120834 + ... + 121842.

It is an arithmetic number, because the mean of its divisors is an integer number (3959604).

Almost surely, 2122430042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122430042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158384160).

122430042 is an abundant number, since it is smaller than the sum of its proper divisors (194338278).

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

122430042 is a wasteful number, since it uses less digits than its factorization.

122430042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 122430042 is about 11064.8109789549. The cubic root of 122430042 is about 496.5496340519.

Adding to 122430042 its reverse (240034221), we get a palindrome (362464263).

The spelling of 122430042 in words is "one hundred twenty-two million, four hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 107 126 162 189 214 321 378 567 642 749 963 1009 1134 1498 1926 2018 2247 2889 3027 4494 5778 6054 6741 7063 8667 9081 13482 14126 17334 18162 20223 21189 27243 40446 42378 54486 60669 63567 81729 107963 121338 127134 163458 190701 215926 323889 381402 572103 647778 755741 971667 1144206 1511482 1943334 2267223 2915001 4534446 5830002 6801669 8745003 13603338 17490006 20405007 40810014 61215021 122430042