Search a number
-
+
122420736 = 293231857
BaseRepresentation
bin1110100101111…
…11111000000000
322112100121200100
413102333320000
5222314430421
620051522400
73014362524
oct722777000
9275317610
10122420736
1163115569
1234bb9400
131c493a09
1412389d84
15ab32c26
hex74bfe00

122420736 has 120 divisors (see below), whose sum is σ = 365137344. Its totient is φ = 39444480.

The previous prime is 122420729. The next prime is 122420737. The reversal of 122420736 is 637024221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122420737) 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, 142420 + ... + 143276.

Almost surely, 2122420736 is an apocalyptic number.

122420736 is a gapful number since it is divisible by the number (16) 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 122420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182568672).

122420736 is an abundant number, since it is smaller than the sum of its proper divisors (242716608).

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

122420736 is an equidigital number, since it uses as much as digits as its factorization.

122420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 122420736 is about 11064.3904486420. The cubic root of 122420736 is about 496.5370526955.

Adding to 122420736 its reverse (637024221), we get a palindrome (759444957).

The spelling of 122420736 in words is "one hundred twenty-two million, four hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 857 992 1116 1152 1488 1536 1714 1984 2232 2304 2571 2976 3428 3968 4464 4608 5142 5952 6856 7713 7936 8928 10284 11904 13712 15426 15872 17856 20568 23808 26567 27424 30852 35712 41136 47616 53134 54848 61704 71424 79701 82272 106268 109696 123408 142848 159402 164544 212536 219392 239103 246816 318804 329088 425072 438784 478206 493632 637608 658176 850144 956412 987264 1275216 1316352 1700288 1912824 1974528 2550432 3400576 3825648 3949056 5100864 6801152 7651296 10201728 13602304 15302592 20403456 30605184 40806912 61210368 122420736