Search a number
-
+
122156736 = 26313109449
BaseRepresentation
bin1110100011111…
…11011011000000
322111212012112120
413101333123000
5222233003421
620042124240
73012213042
oct721773300
9274765476
10122156736
1162a55189
1234ab0680
131c4007c0
141231ba92
15aace8c6
hex747f6c0

122156736 has 112 divisors (see below), whose sum is σ = 352044000. Its totient is φ = 37158912.

The previous prime is 122156717. The next prime is 122156767. The reversal of 122156736 is 637651221.

It is a junction number, because it is equal to n+sod(n) for n = 122156697 and 122156706.

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, 271840 + ... + 272288.

It is an arithmetic number, because the mean of its divisors is an integer number (3143250).

Almost surely, 2122156736 is an apocalyptic number.

122156736 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 122156736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176022000).

122156736 is an abundant number, since it is smaller than the sum of its proper divisors (229887264).

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

122156736 is a wasteful number, since it uses less digits than its factorization.

122156736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 122156736 is about 11052.4538451875. The cubic root of 122156736 is about 496.1798688611.

The spelling of 122156736 in words is "one hundred twenty-two million, one hundred fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 156 192 208 218 312 327 416 436 449 624 654 832 872 898 1248 1308 1347 1417 1744 1796 2496 2616 2694 2834 3488 3592 4251 5232 5388 5668 5837 6976 7184 8502 10464 10776 11336 11674 14368 17004 17511 20928 21552 22672 23348 28736 34008 35022 43104 45344 46696 48941 68016 70044 86208 90688 93392 97882 136032 140088 146823 186784 195764 272064 280176 293646 373568 391528 560352 587292 636233 783056 1120704 1174584 1272466 1566112 1908699 2349168 2544932 3132224 3817398 4698336 5089864 7634796 9396672 10179728 15269592 20359456 30539184 40718912 61078368 122156736