Search a number
-
+
122003424 = 25321724919
BaseRepresentation
bin1110100010110…
…01111111100000
322111120102020100
413101121333200
5222213102144
620034542400
73011004054
oct721317740
9274512210
10122003424
116295aa84
1234a37a00
131c378a9a
14122bbc64
15aa9e269
hex7459fe0

122003424 has 72 divisors (see below), whose sum is σ = 367370640. Its totient is φ = 38274048.

The previous prime is 122003423. The next prime is 122003429. The reversal of 122003424 is 424300221.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 122003397 and 122003406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003423) 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, 7564 + ... + 17355.

It is an arithmetic number, because the mean of its divisors is an integer number (5102370).

Almost surely, 2122003424 is an apocalyptic number.

It is an amenable number.

122003424 is an abundant number, since it is smaller than the sum of its proper divisors (245367216).

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

122003424 is a wasteful number, since it uses less digits than its factorization.

122003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24952 (or 24941 counting only the distinct ones).

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

The square root of 122003424 is about 11045.5160132970. The cubic root of 122003424 is about 495.9722062123.

Adding to 122003424 its reverse (424300221), we get a palindrome (546303645).

The spelling of 122003424 in words is "one hundred twenty-two million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 24919 49838 74757 99676 149514 199352 224271 299028 398704 423623 448542 598056 797408 847246 897084 1196112 1270869 1694492 1794168 2392224 2541738 3388984 3588336 3812607 5083476 6777968 7176672 7625214 10166952 13555936 15250428 20333904 30500856 40667808 61001712 122003424