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133303040 = 285138011
BaseRepresentation
bin1111111001000…
…00101100000000
3100021211111101122
413330200230000
5233111144130
621121051412
73206025413
oct774405400
9307744348
10133303040
1169278602
1238786b68
1321804050
14139bdb7a
15ba822e5
hex7f20b00

133303040 has 72 divisors (see below), whose sum is σ = 343907088. Its totient is φ = 49213440.

The previous prime is 133303039. The next prime is 133303057. The reversal of 133303040 is 40303331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12635 + ... + 20645.

Almost surely, 2133303040 is an apocalyptic number.

133303040 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 133303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171953544).

133303040 is an abundant number, since it is smaller than the sum of its proper divisors (210604048).

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

133303040 is an equidigital number, since it uses as much as digits as its factorization.

133303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045 (or 8031 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 133303040 is about 11545.6935694656. The cubic root of 133303040 is about 510.8342618867.

Adding to 133303040 its reverse (40303331), we get a palindrome (173606371).

The spelling of 133303040 in words is "one hundred thirty-three million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8011 8320 16022 16640 32044 40055 64088 80110 104143 128176 160220 208286 256352 320440 416572 512704 520715 640880 833144 1025408 1041430 1281760 1666288 2050816 2082860 2563520 3332576 4165720 5127040 6665152 8331440 10254080 13330304 16662880 26660608 33325760 66651520 133303040