Search a number
-
+
122045420 = 22574991747
BaseRepresentation
bin1110100011001…
…00001111101100
322111122112211202
413101210033230
5222220423140
620035505032
73011240360
oct721441754
9274575752
10122045420
1162989592
1234a58178
131c391c33
14122cd2a0
15aaab915
hex74643ec

122045420 has 48 divisors (see below), whose sum is σ = 293664000. Its totient is φ = 41736384.

The previous prime is 122045401. The next prime is 122045449. The reversal of 122045420 is 24540221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122045392 and 122045401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68987 + ... + 70733.

It is an arithmetic number, because the mean of its divisors is an integer number (6118000).

Almost surely, 2122045420 is an apocalyptic number.

122045420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122045420 is an abundant number, since it is smaller than the sum of its proper divisors (171618580).

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

122045420 is a wasteful number, since it uses less digits than its factorization.

122045420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 122045420 is about 11047.4168926496. The cubic root of 122045420 is about 496.0291075096.

122045420 divided by its sum of digits (20) gives a triangular number (6102271 = T3493).

Adding to 122045420 its reverse (24540221), we get a palindrome (146585641).

The spelling of 122045420 in words is "one hundred twenty-two million, forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 499 998 1747 1996 2495 3493 3494 4990 6986 6988 8735 9980 12229 13972 17465 17470 24458 34930 34940 48916 61145 69860 122290 244580 871753 1743506 3487012 4358765 6102271 8717530 12204542 17435060 24409084 30511355 61022710 122045420