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132341472 = 2533473259
BaseRepresentation
bin1111110001101…
…01111011100000
3100020000122101000
413320311323200
5232334411342
621044312000
73164612124
oct770657340
9306018330
10132341472
116878111a
12383a2600
1321558483
141380d584
15b94244c
hex7e35ee0

132341472 has 96 divisors (see below), whose sum is σ = 394329600. Its totient is φ = 43161984.

The previous prime is 132341467. The next prime is 132341491. The reversal of 132341472 is 274143231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1323414722 = 35028530422253568, which contains 22 as substring.

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

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, 38979 + ... + 42237.

It is an arithmetic number, because the mean of its divisors is an integer number (4107600).

Almost surely, 2132341472 is an apocalyptic number.

132341472 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 132341472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197164800).

132341472 is an abundant number, since it is smaller than the sum of its proper divisors (261988128).

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

132341472 is a wasteful number, since it uses less digits than its factorization.

132341472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3311 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 132341472 is about 11503.9763560258. The cubic root of 132341472 is about 509.6030128623.

It can be divided in two parts, 13234 and 1472, that added together give a triangular number (14706 = T171).

The spelling of 132341472 in words is "one hundred thirty-two million, three hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3259 3384 4512 5076 6518 6768 9777 10152 13036 13536 19554 20304 26072 29331 39108 40608 52144 58662 78216 87993 104288 117324 153173 156432 175986 234648 306346 312864 351972 459519 469296 612692 703944 919038 938592 1225384 1378557 1407888 1838076 2450768 2757114 2815776 3676152 4135671 4901536 5514228 7352304 8271342 11028456 14704608 16542684 22056912 33085368 44113824 66170736 132341472