Search a number
-
+
132353440 = 2553779283
BaseRepresentation
bin1111110001110…
…00110110100000
3100020001020210021
413320320312200
5232340302230
621044443224
73164662042
oct770706640
9306036707
10132353440
116878a10a
12383a9514
1321560a5b
1413813a92
15b945c7a
hex7e38da0

132353440 has 96 divisors (see below), whose sum is σ = 326350080. Its totient is φ = 50678784.

The previous prime is 132353407. The next prime is 132353447. The reversal of 132353440 is 44353231.

It is not an unprimeable number, because it can be changed into a prime (132353447) 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, 467539 + ... + 467821.

It is an arithmetic number, because the mean of its divisors is an integer number (3399480).

Almost surely, 2132353440 is an apocalyptic number.

132353440 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 132353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163175040).

132353440 is an abundant number, since it is smaller than the sum of its proper divisors (193996640).

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

132353440 is a wasteful number, since it uses less digits than its factorization.

132353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 132353440 is about 11504.4965122338. The cubic root of 132353440 is about 509.6183739957.

The spelling of 132353440 in words is "one hundred thirty-two million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 79 80 148 158 160 185 283 296 316 370 395 566 592 632 740 790 1132 1184 1264 1415 1480 1580 2264 2528 2830 2923 2960 3160 4528 5660 5846 5920 6320 9056 10471 11320 11692 12640 14615 20942 22357 22640 23384 29230 41884 44714 45280 46768 52355 58460 83768 89428 93536 104710 111785 116920 167536 178856 209420 223570 233840 335072 357712 418840 447140 467680 715424 827209 837680 894280 1654418 1675360 1788560 3308836 3577120 4136045 6617672 8272090 13235344 16544180 26470688 33088360 66176720 132353440