Search a number
-
+
1061161722 = 2341372349
BaseRepresentation
bin111111010000000…
…000101011111010
32201221202121020000
4333100000223322
54133124133342
6253144213430
735203503645
oct7720005372
92657677200
101061161722
114a4aa8565
1225746a276
1313bb02b5a
14a0d0ca5c
156326344c
hex3f400afa

1061161722 has 60 divisors (see below), whose sum is σ = 2402134350. Its totient is φ = 350132544.

The previous prime is 1061161679. The next prime is 1061161727. The reversal of 1061161722 is 2271611601.

It is a happy number.

1061161722 is a `hidden beast` number, since 10 + 6 + 11 + 617 + 22 = 666.

1061161722 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1025984961 + 35176761 = 32031^2 + 5931^2 .

It is a super-2 number, since 2×10611617222 = 2252128400476010568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1061161727) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3040404 + ... + 3040752.

Almost surely, 21061161722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061161722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201067175).

1061161722 is an abundant number, since it is smaller than the sum of its proper divisors (1340972628).

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

1061161722 is an equidigital number, since it uses as much as digits as its factorization.

1061161722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1061161722 is about 32575.4773103941. The cubic root of 1061161722 is about 1019.9851727948.

The spelling of 1061161722 in words is "one billion, sixty-one million, one hundred sixty-one thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 349 411 698 822 1047 1233 2094 2466 3141 3699 6282 7398 9423 11097 18769 18846 22194 28269 37538 47813 56307 56538 95626 112614 143439 168921 286878 337842 430317 506763 860634 1013526 1290951 1520289 2581902 3040578 3872853 6550381 7745706 13100762 19651143 39302286 58953429 117906858 176860287 353720574 530580861 1061161722