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133434432 = 2633372087
BaseRepresentation
bin1111111010000…
…00110001000000
3100022002011122000
413331000301000
5233124400212
621123544000
73210113445
oct775006100
9308064560
10133434432
116935829a
123882b000
132184bab1
1413a159cc
15baab1dc
hex7f40c40

133434432 has 112 divisors (see below), whose sum is σ = 403067520. Its totient is φ = 43255296.

The previous prime is 133434419. The next prime is 133434439. The reversal of 133434432 is 234434331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133434396 and 133434405.

It is not an unprimeable number, because it can be changed into a prime (133434439) by changing a digit.

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, 62893 + ... + 64979.

Almost surely, 2133434432 is an apocalyptic number.

133434432 is a gapful number since it is divisible by the number (12) 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 133434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201533760).

133434432 is an abundant number, since it is smaller than the sum of its proper divisors (269633088).

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

133434432 is a wasteful number, since it uses less digits than its factorization.

133434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2129 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 133434432 is about 11551.3822549511. The cubic root of 133434432 is about 511.0020437442.

Adding to 133434432 its reverse (234434331), we get a palindrome (367868763).

The spelling of 133434432 in words is "one hundred thirty-three million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2087 2368 2664 3552 3996 4174 5328 6261 7104 7992 8348 10656 12522 15984 16696 18783 21312 25044 31968 33392 37566 50088 56349 63936 66784 75132 77219 100176 112698 133568 150264 154438 200352 225396 231657 300528 308876 400704 450792 463314 601056 617752 694971 901584 926628 1202112 1235504 1389942 1803168 1853256 2084913 2471008 2779884 3606336 3706512 4169826 4942016 5559768 7413024 8339652 11119536 14826048 16679304 22239072 33358608 44478144 66717216 133434432