Search a number
-
+
122424372 = 2235719947
BaseRepresentation
bin1110100110000…
…00110000110100
322112100210200000
413103000300310
5222320034442
620051551300
73014406240
oct723006064
9275323600
10122424372
1163118274
1234bbb530
131c495575
141238b420
15ab33d4c
hex74c0c34

122424372 has 144 divisors (see below), whose sum is σ = 386480640. Its totient is φ = 33102432.

The previous prime is 122424287. The next prime is 122424373. The reversal of 122424372 is 273424221.

122424372 is a `hidden beast` number, since 1 + 224 + 2 + 437 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122424373) 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 47 ways as a sum of consecutive naturals, for example, 128803 + ... + 129749.

Almost surely, 2122424372 is an apocalyptic number.

122424372 is a gapful number since it is divisible by the number (12) 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 122424372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193240320).

122424372 is an abundant number, since it is smaller than the sum of its proper divisors (264056268).

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

122424372 is a wasteful number, since it uses less digits than its factorization.

122424372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 978 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 122424372 is about 11064.5547583262. The cubic root of 122424372 is about 496.5419685045.

Adding to 122424372 its reverse (273424221), we get a palindrome (395848593).

The spelling of 122424372 in words is "one hundred twenty-two million, four hundred twenty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 243 252 266 324 342 378 399 486 513 532 567 684 756 798 947 972 1026 1134 1197 1539 1596 1701 1894 2052 2268 2394 2841 3078 3402 3591 3788 4617 4788 5682 6156 6629 6804 7182 8523 9234 10773 11364 13258 14364 17046 17993 18468 19887 21546 25569 26516 32319 34092 35986 39774 43092 51138 53979 59661 64638 71972 76707 79548 102276 107958 119322 125951 129276 153414 161937 178983 215916 230121 238644 251902 306828 323874 357966 377853 460242 485811 503804 536949 647748 715932 755706 920484 971622 1073898 1133559 1457433 1511412 1610847 1943244 2147796 2267118 2914866 3221694 3400677 4372299 4534236 5829732 6443388 6801354 8744598 10202031 13602708 17489196 20404062 30606093 40808124 61212186 122424372