Search a number
-
+
1166344192 = 21613372
BaseRepresentation
bin100010110000101…
…0000000000000000
310000021200102110001
41011201100000000
54342041003232
6311422445344
740621522246
oct10541200000
93007612401
101166344192
11549409722
12286733854
1315783c4c0
14b0c8c796
156c5dd6e7
hex45850000

1166344192 has 102 divisors (see below), whose sum is σ = 2581836558. Its totient is φ = 523763712.

The previous prime is 1166344183. The next prime is 1166344219. The reversal of 1166344192 is 2914436611.

It can be written as a sum of positive squares in 3 ways, for example, as 429981696 + 736362496 = 20736^2 + 27136^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31522798 + ... + 31522834.

Almost surely, 21166344192 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 1166344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290918279).

1166344192 is an abundant number, since it is smaller than the sum of its proper divisors (1415492366).

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

1166344192 is an frugal number, since it uses more digits than its factorization.

1166344192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 52 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 1166344192 is about 34151.7816811949. The cubic root of 1166344192 is about 1052.6295970545.

It can be divided in two parts, 11663 and 44192, that added together give a palindrome (55855).

The spelling of 1166344192 in words is "one billion, one hundred sixty-six million, three hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 512 592 832 962 1024 1184 1369 1664 1924 2048 2368 2738 3328 3848 4096 4736 5476 6656 7696 8192 9472 10952 13312 15392 16384 17797 18944 21904 26624 30784 32768 35594 37888 43808 53248 61568 65536 71188 75776 87616 106496 123136 142376 151552 175232 212992 246272 284752 303104 350464 425984 492544 569504 606208 700928 851968 985088 1139008 1212416 1401856 1970176 2278016 2424832 2803712 3940352 4556032 5607424 7880704 9112064 11214848 15761408 18224128 22429696 31522816 36448256 44859392 72896512 89718784 145793024 291586048 583172096 1166344192