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132171424 = 2572117997
BaseRepresentation
bin1111110000011…
…00011010100000
3100012201000002221
413320030122200
5232313441144
621040520424
73163303300
oct770143240
9305630087
10132171424
1168675390
1238320114
13214c8c58
14137a7600
15b90bd84
hex7e0c6a0

132171424 has 144 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 50319360.

The previous prime is 132171407. The next prime is 132171451. The reversal of 132171424 is 424171231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1362544 + ... + 1362640.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2132171424 is an apocalyptic number.

132171424 is a gapful number since it is divisible by the number (14) 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 132171424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

132171424 is an abundant number, since it is smaller than the sum of its proper divisors (205669856).

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

132171424 is a wasteful number, since it uses less digits than its factorization.

132171424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 132171424 is about 11496.5831445695. The cubic root of 132171424 is about 509.3846532051.

It can be divided in two parts, 13217 and 1424, that added together give a palindrome (14641).

The spelling of 132171424 in words is "one hundred thirty-two million, one hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 79 88 97 98 112 154 158 176 194 196 224 308 316 352 388 392 539 553 616 632 679 776 784 869 1067 1078 1106 1232 1264 1358 1552 1568 1738 2134 2156 2212 2464 2528 2716 3104 3476 3871 4268 4312 4424 4753 5432 6083 6952 7469 7663 7742 8536 8624 8848 9506 10864 12166 13904 14938 15326 15484 17072 17248 17696 19012 21728 24332 27808 29876 30652 30968 34144 38024 42581 48664 52283 53641 59752 61304 61936 76048 84293 85162 97328 104566 107282 119504 122608 123872 152096 168586 170324 194656 209132 214564 239008 245216 337172 340648 375487 418264 429128 590051 674344 681296 750974 836528 858256 1180102 1348688 1362592 1501948 1673056 1716512 2360204 2697376 3003896 4130357 4720408 6007792 8260714 9440816 12015584 16521428 18881632 33042856 66085712 132171424