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133433440 = 25571091093
BaseRepresentation
bin1111111010000…
…00100001100000
3100022002010021021
413331000201200
5233124332230
621123535224
73210110530
oct775004140
9308063237
10133433440
1169357578
123882a514
132184b4ca
1413a154c0
15baaac7a
hex7f40860

133433440 has 96 divisors (see below), whose sum is σ = 363908160. Its totient is φ = 45287424.

The previous prime is 133433411. The next prime is 133433453. The reversal of 133433440 is 44334331.

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 15 ways as a sum of consecutive naturals, for example, 121534 + ... + 122626.

It is an arithmetic number, because the mean of its divisors is an integer number (3790710).

Almost surely, 2133433440 is an apocalyptic number.

133433440 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 133433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181954080).

133433440 is an abundant number, since it is smaller than the sum of its proper divisors (230474720).

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

133433440 is a wasteful number, since it uses less digits than its factorization.

133433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 133433440 is about 11551.3393162871. The cubic root of 133433440 is about 511.0007774162. Note that the first 3 decimals are identical.

Adding to 133433440 its reverse (44334331), we get a palindrome (177767771).

The spelling of 133433440 in words is "one hundred thirty-three million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 109 112 140 160 218 224 280 436 545 560 763 872 1090 1093 1120 1526 1744 2180 2186 3052 3488 3815 4360 4372 5465 6104 7630 7651 8720 8744 10930 12208 15260 15302 17440 17488 21860 24416 30520 30604 34976 38255 43720 61040 61208 76510 87440 119137 122080 122416 153020 174880 238274 244832 306040 476548 595685 612080 833959 953096 1191370 1224160 1667918 1906192 2382740 3335836 3812384 4169795 4765480 6671672 8339590 9530960 13343344 16679180 19061920 26686688 33358360 66716720 133433440