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29606130 = 23251013257
BaseRepresentation
bin111000011110…
…0000011110010
32001201010222100
41300330003302
530034344010
62534321230
7506435151
oct160740362
961633870
1029606130
1115791584
129ab9216
136197928
143d09598
1528ec2c0
hex1c3c0f2

29606130 has 48 divisors (see below), whose sum is σ = 77761944. Its totient is φ = 7814400.

The previous prime is 29606089. The next prime is 29606177. The reversal of 29606130 is 3160692.

It is a happy number.

29606130 is a `hidden beast` number, since 29 + 606 + 1 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29582721 + 23409 = 5439^2 + 153^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 29606094 and 29606103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7462 + ... + 10718.

Almost surely, 229606130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29606130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880972).

29606130 is an abundant number, since it is smaller than the sum of its proper divisors (48155814).

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

29606130 is a wasteful number, since it uses less digits than its factorization.

29606130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 29606130 is about 5441.1515325343. The cubic root of 29606130 is about 309.3574272235.

The spelling of 29606130 in words is "twenty-nine million, six hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 3257 4545 6514 9090 9771 16285 19542 29313 32570 48855 58626 97710 146565 293130 328957 657914 986871 1644785 1973742 2960613 3289570 4934355 5921226 9868710 14803065 29606130