[go: up one dir, main page]

Search a number
-
+
1226987328 = 26373592543
BaseRepresentation
bin100100100100010…
…0101011101000000
310011111210102012010
41021020211131000
510003102043303
6321430332520
742256135350
oct11110453500
93144712163
101226987328
1157a669816
122a2aba140
13167283108
14b8d56b60
1572abbc03
hex49225740

1226987328 has 112 divisors (see below), whose sum is σ = 3721973760. Its totient is φ = 349453824.

The previous prime is 1226987287. The next prime is 1226987329. The reversal of 1226987328 is 8237896221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226987329) 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 15 ways as a sum of consecutive naturals, for example, 481225 + ... + 483767.

Almost surely, 21226987328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860986880).

1226987328 is an abundant number, since it is smaller than the sum of its proper divisors (2494986432).

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

1226987328 is a wasteful number, since it uses less digits than its factorization.

1226987328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2914 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 1226987328 is about 35028.3788948333. The cubic root of 1226987328 is about 1070.5657845689.

The spelling of 1226987328 in words is "one billion, two hundred twenty-six million, nine hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 359 448 672 718 1077 1344 1436 2154 2513 2543 2872 4308 5026 5086 5744 7539 7629 8616 10052 10172 11488 15078 15258 17232 17801 20104 20344 22976 30156 30516 34464 35602 40208 40688 53403 60312 61032 68928 71204 80416 81376 106806 120624 122064 142408 160832 162752 213612 241248 244128 284816 427224 482496 488256 569632 854448 912937 1139264 1708896 1825874 2738811 3417792 3651748 5477622 6390559 7303496 10955244 12781118 14606992 19171677 21910488 25562236 29213984 38343354 43820976 51124472 58427968 76686708 87641952 102248944 153373416 175283904 204497888 306746832 408995776 613493664 1226987328