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1133736241 = 11230612
BaseRepresentation
bin100001110010011…
…0111000100110001
32221000022202202011
41003210313010301
54310214024431
6304255522521
740044412321
oct10344670461
92830282664
101133736241
11531a67900
12277829441
13150b63461
14aa801281
15697ebcb1
hex43937131

1133736241 has 9 divisors (see below), whose sum is σ = 1246580139. Its totient is φ = 1030332600.

The previous prime is 1133736229. The next prime is 1133736269. The reversal of 1133736241 is 1426373311.

The square root of 1133736241 is 33671.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1081028641 + 52707600 = 32879^2 + 7260^2 .

It is not a de Polignac number, because 1133736241 - 219 = 1133211953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1133736281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 368851 + ... + 371911.

Almost surely, 21133736241 is an apocalyptic number.

1133736241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1133736241 is the 33671-st square number.

1133736241 is the 16836-th centered octagonal number.

It is an amenable number.

1133736241 is a deficient number, since it is larger than the sum of its proper divisors (112843898).

1133736241 is an frugal number, since it uses more digits than its factorization.

1133736241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 3072 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The cubic root of 1133736241 is about 1042.7271376984.

It can be divided in two parts, 1133736 and 241, that multiplied together give a triangular number (273230376 = T23376).

The spelling of 1133736241 in words is "one billion, one hundred thirty-three million, seven hundred thirty-six thousand, two hundred forty-one".

Divisors: 1 11 121 3061 33671 370381 9369721 103066931 1133736241