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134011410 = 23513372251
BaseRepresentation
bin1111111110011…
…01101000010010
3100100011111002120
413333031220102
5233301331120
621144155110
73215035551
oct777155022
9310144076
10134011410
1169711835
1238a68a96
13219c15c0
1413b25d98
15bb72140
hex7fcda12

134011410 has 96 divisors (see below), whose sum is σ = 357400512. Its totient is φ = 31968000.

The previous prime is 134011403. The next prime is 134011421. The reversal of 134011410 is 14110431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 134011410.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533785 + ... + 534035.

It is an arithmetic number, because the mean of its divisors is an integer number (3722922).

Almost surely, 2134011410 is an apocalyptic number.

134011410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134011410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178700256).

134011410 is an abundant number, since it is smaller than the sum of its proper divisors (223389102).

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

134011410 is a wasteful number, since it uses less digits than its factorization.

134011410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 134011410 is about 11576.3297292363. The cubic root of 134011410 is about 511.7375185560.

Adding to 134011410 its reverse (14110431), we get a palindrome (148121841).

It can be divided in two parts, 134011 and 410, that added together give a triangular number (134421 = T518).

The spelling of 134011410 in words is "one hundred thirty-four million, eleven thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 251 370 390 481 502 555 753 962 1110 1255 1369 1443 1506 2405 2510 2738 2886 3263 3765 4107 4810 6526 6845 7215 7530 8214 9287 9789 13690 14430 16315 17797 18574 19578 20535 27861 32630 35594 41070 46435 48945 53391 55722 88985 92870 97890 106782 120731 139305 177970 241462 266955 278610 343619 362193 533910 603655 687238 724386 1030857 1207310 1718095 1810965 2061714 3436190 3621930 4467047 5154285 8934094 10308570 13401141 22335235 26802282 44670470 67005705 134011410