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132555440 = 24523611181
BaseRepresentation
bin1111110011010…
…10001010110000
3100020102111212202
413321222022300
5232413233230
621053042332
73166463003
oct771521260
9306374782
10132555440
1168907956
12384863a8
1321601994
141386753a
15b985a45
hex7e6a2b0

132555440 has 80 divisors (see below), whose sum is σ = 327139776. Its totient is φ = 49843200.

The previous prime is 132555439. The next prime is 132555461. The reversal of 132555440 is 44555231.

132555440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111650 + ... + 112830.

Almost surely, 2132555440 is an apocalyptic number.

132555440 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 132555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163569888).

132555440 is an abundant number, since it is smaller than the sum of its proper divisors (194584336).

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

132555440 is a wasteful number, since it uses less digits than its factorization.

132555440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 132555440 is about 11513.2723410853. The cubic root of 132555440 is about 509.8775048624.

It can be divided in two parts, 1325 and 55440, that added together give a palindrome (56765).

The spelling of 132555440 in words is "one hundred thirty-two million, five hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 61 80 92 115 122 184 230 244 305 368 460 488 610 920 976 1181 1220 1403 1840 2362 2440 2806 4724 4880 5612 5905 7015 9448 11224 11810 14030 18896 22448 23620 27163 28060 47240 54326 56120 72041 94480 108652 112240 135815 144082 217304 271630 288164 360205 434608 543260 576328 720410 1086520 1152656 1440820 1656943 2173040 2881640 3313886 5763280 6627772 8284715 13255544 16569430 26511088 33138860 66277720 132555440