Search a number
-
+
133402480 = 2452696199
BaseRepresentation
bin1111111001110…
…00111101110000
3100022000112210121
413330320331300
5233122334410
621123140024
73206621341
oct774707560
9308015717
10133402480
1169336292
1238814614
132183a3a3
1413a080c8
15baa19da
hex7f38f70

133402480 has 40 divisors (see below), whose sum is σ = 311364000. Its totient is φ = 53154048.

The previous prime is 133402471. The next prime is 133402513. The reversal of 133402480 is 84204331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18421 + ... + 24619.

It is an arithmetic number, because the mean of its divisors is an integer number (7784100).

Almost surely, 2133402480 is an apocalyptic number.

133402480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133402480 is an abundant number, since it is smaller than the sum of its proper divisors (177961520).

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

133402480 is a wasteful number, since it uses less digits than its factorization.

133402480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 133402480 is about 11549.9991341991. Note that the first 3 decimals coincide. The cubic root of 133402480 is about 510.9612525719.

The spelling of 133402480 in words is "one hundred thirty-three million, four hundred two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 269 538 1076 1345 2152 2690 4304 5380 6199 10760 12398 21520 24796 30995 49592 61990 99184 123980 247960 495920 1667531 3335062 6670124 8337655 13340248 16675310 26680496 33350620 66701240 133402480