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132439120 = 2451119892
BaseRepresentation
bin1111110010011…
…01110001010000
3100020012121022121
413321031301100
5232401022440
621050344024
73165466612
oct771156120
9306177277
10132439120
1168838520
123842b014
1321590a58
1413836db2
15b96134a
hex7e4dc50

132439120 has 120 divisors (see below), whose sum is σ = 357611040. Its totient is φ = 45112320.

The previous prime is 132439079. The next prime is 132439121. The reversal of 132439120 is 21934231.

132439120 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 (132439121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1488036 + ... + 1488124.

It is an arithmetic number, because the mean of its divisors is an integer number (2980092).

Almost surely, 2132439120 is an apocalyptic number.

132439120 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 132439120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178805520).

132439120 is an abundant number, since it is smaller than the sum of its proper divisors (225171920).

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

132439120 is a wasteful number, since it uses less digits than its factorization.

132439120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 132439120 is about 11508.2196711742. The cubic root of 132439120 is about 509.7283187103.

The spelling of 132439120 in words is "one hundred thirty-two million, four hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 89 95 110 152 176 178 190 209 220 304 356 380 418 440 445 712 760 836 880 890 979 1045 1424 1520 1672 1691 1780 1958 2090 3344 3382 3560 3916 4180 4895 6764 7120 7832 7921 8360 8455 9790 13528 15664 15842 16720 16910 18601 19580 27056 31684 33820 37202 39160 39605 63368 67640 74404 78320 79210 87131 93005 126736 135280 148808 150499 158420 174262 186010 297616 300998 316840 348524 372020 435655 601996 633680 697048 744040 752495 871310 1203992 1394096 1488080 1504990 1655489 1742620 2407984 3009980 3310978 3485240 6019960 6621956 6970480 8277445 12039920 13243912 16554890 26487824 33109780 66219560 132439120