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141352320 = 273583887
BaseRepresentation
bin10000110110011…
…01110110000000
3100211222102221010
420123031312000
5242141233240
622005400520
73334321614
oct1033156600
9324872833
10141352320
11728760aa
123b409140
1323391a35
1414ab7344
15c622280
hex86cdd80

141352320 has 128 divisors (see below), whose sum is σ = 456503040. Its totient is φ = 37197824.

The previous prime is 141352303. The next prime is 141352327. The reversal of 141352320 is 23253141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141352327) 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, 158917 + ... + 159803.

It is an arithmetic number, because the mean of its divisors is an integer number (3566430).

Almost surely, 2141352320 is an apocalyptic number.

141352320 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 141352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228251520).

141352320 is an abundant number, since it is smaller than the sum of its proper divisors (315150720).

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

141352320 is an equidigital number, since it uses as much as digits as its factorization.

141352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 141352320 is about 11889.1681794817. The cubic root of 141352320 is about 520.9159399357.

The spelling of 141352320 in words is "one hundred forty-one million, three hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 160 166 192 240 249 320 332 384 415 480 498 640 664 830 887 960 996 1245 1328 1660 1774 1920 1992 2490 2656 2661 3320 3548 3984 4435 4980 5312 5322 6640 7096 7968 8870 9960 10624 10644 13280 13305 14192 15936 17740 19920 21288 26560 26610 28384 31872 35480 39840 42576 53120 53220 56768 70960 73621 79680 85152 106440 113536 141920 147242 159360 170304 212880 220863 283840 294484 340608 368105 425760 441726 567680 588968 736210 851520 883452 1104315 1177936 1472420 1703040 1766904 2208630 2355872 2944840 3533808 4417260 4711744 5889680 7067616 8834520 9423488 11779360 14135232 17669040 23558720 28270464 35338080 47117440 70676160 141352320