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135332592 = 24319179829
BaseRepresentation
bin10000001000100…
…00001011110000
3100102122121102020
420010100023300
5234121120332
621232351440
73232210443
oct1004201360
9312577366
10135332592
116a43441a
12393a5580
1322064a75
1413d8b65a
15bd3382c
hex81102f0

135332592 has 80 divisors (see below), whose sum is σ = 370512000. Its totient is φ = 42446592.

The previous prime is 135332591. The next prime is 135332651. The reversal of 135332592 is 295233531.

It is a happy number.

135332592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135332591) 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, 162834 + ... + 163662.

It is an arithmetic number, because the mean of its divisors is an integer number (4631400).

Almost surely, 2135332592 is an apocalyptic number.

135332592 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 135332592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185256000).

135332592 is an abundant number, since it is smaller than the sum of its proper divisors (235179408).

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

135332592 is a wasteful number, since it uses less digits than its factorization.

135332592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its digits is 24300, while the sum is 33.

The square root of 135332592 is about 11633.2537151048. The cubic root of 135332592 is about 513.4137157907.

The spelling of 135332592 in words is "one hundred thirty-five million, three hundred thirty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 179 228 304 358 456 537 716 829 912 1074 1432 1658 2148 2487 2864 3316 3401 4296 4974 6632 6802 8592 9948 10203 13264 13604 15751 19896 20406 27208 31502 39792 40812 47253 54416 63004 81624 94506 126008 148391 163248 189012 252016 296782 378024 445173 593564 756048 890346 1187128 1780692 2374256 2819429 3561384 5638858 7122768 8458287 11277716 16916574 22555432 33833148 45110864 67666296 135332592