Search a number
-
+
133934610 = 23519283149
BaseRepresentation
bin1111111101110…
…10111000010010
3100100000120202010
413332322320102
5233241401420
621142403350
73214265625
oct776727022
9310016663
10133934610
116966a067
1238a30556
1321995664
1413b05dbc
15bb594e0
hex7fbae12

133934610 has 96 divisors (see below), whose sum is σ = 345643200. Its totient is φ = 33204096.

The previous prime is 133934609. The next prime is 133934617. The reversal of 133934610 is 16439331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (133934617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 898816 + ... + 898964.

It is an arithmetic number, because the mean of its divisors is an integer number (3600450).

Almost surely, 2133934610 is an apocalyptic number.

133934610 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 133934610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172821600).

133934610 is an abundant number, since it is smaller than the sum of its proper divisors (211708590).

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

133934610 is a wasteful number, since it uses less digits than its factorization.

133934610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 133934610 is about 11573.0121403203. The cubic root of 133934610 is about 511.6397434200.

The spelling of 133934610 in words is "one hundred thirty-three million, nine hundred thirty-four thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 83 95 114 149 166 190 249 285 298 361 415 447 498 570 722 745 830 894 1083 1245 1490 1577 1805 2166 2235 2490 2831 3154 3610 4470 4731 5415 5662 7885 8493 9462 10830 12367 14155 15770 16986 23655 24734 28310 29963 37101 42465 47310 53789 59926 61835 74202 84930 89889 107578 123670 149815 161367 179778 185505 234973 268945 299630 322734 371010 449445 469946 537890 704919 806835 898890 1174865 1409838 1613670 2349730 3524595 4464487 7049190 8928974 13393461 22322435 26786922 44644870 66967305 133934610