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133317080 = 23513449571
BaseRepresentation
bin1111111001001…
…00000111011000
3100021212012122122
413330210013120
5233112121310
621121240412
73206114351
oct774440730
9307765578
10133317080
1169288106
1238793108
132180a560
14139c4d28
15ba86555
hex7f241d8

133317080 has 64 divisors (see below), whose sum is σ = 324324000. Its totient is φ = 49029120.

The previous prime is 133317059. The next prime is 133317083. The reversal of 133317080 is 80713331.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133317083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233195 + ... + 233765.

Almost surely, 2133317080 is an apocalyptic number.

133317080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133317080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162162000).

133317080 is an abundant number, since it is smaller than the sum of its proper divisors (191006920).

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

133317080 is a wasteful number, since it uses less digits than its factorization.

133317080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 133317080 is about 11546.3015723651. The cubic root of 133317080 is about 510.8521956144.

The spelling of 133317080 in words is "one hundred thirty-three million, three hundred seventeen thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 449 520 571 898 1142 1796 2245 2284 2855 3592 4490 4568 5710 5837 7423 8980 11420 11674 14846 17960 22840 23348 29185 29692 37115 46696 58370 59384 74230 116740 148460 233480 256379 296920 512758 1025516 1281895 2051032 2563790 3332927 5127580 6665854 10255160 13331708 16664635 26663416 33329270 66658540 133317080