Search a number
-
+
133810704 = 2434223463
BaseRepresentation
bin1111111100111…
…00101000010000
3100022210021210000
413332130220100
5233223420304
621140010000
73213241446
oct776345020
9308707700
10133810704
1169594a65
1238990900
1321951141
1413ab2b96
15bb32939
hex7f9ca10

133810704 has 100 divisors (see below), whose sum is σ = 389863936. Its totient is φ = 44307648.

The previous prime is 133810693. The next prime is 133810709. The reversal of 133810704 is 407018331.

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 (133810709) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288777 + ... + 289239.

Almost surely, 2133810704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133810704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194931968).

133810704 is an abundant number, since it is smaller than the sum of its proper divisors (256053232).

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

133810704 is a wasteful number, since it uses less digits than its factorization.

133810704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 133810704 is about 11567.6576712833. The cubic root of 133810704 is about 511.4819181610.

The spelling of 133810704 in words is "one hundred thirty-three million, eight hundred ten thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 223 324 432 446 463 648 669 892 926 1296 1338 1389 1784 1852 2007 2676 2778 3568 3704 4014 4167 5352 5556 6021 7408 8028 8334 10704 11112 12042 12501 16056 16668 18063 22224 24084 25002 32112 33336 36126 37503 48168 50004 66672 72252 75006 96336 100008 103249 144504 150012 200016 206498 289008 300024 309747 412996 600048 619494 825992 929241 1238988 1651984 1858482 2477976 2787723 3716964 4955952 5575446 7433928 8363169 11150892 14867856 16726338 22301784 33452676 44603568 66905352 133810704