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141406320 = 243511291847
BaseRepresentation
bin10000110110110…
…11000001110000
3100212002012000010
420123123001300
5242200000240
622010454520
73334635216
oct1033330160
9325065003
10141406320
1172902730
123b434440
13233b04a3
1414acccb6
15c633280
hex86db070

141406320 has 160 divisors (see below), whose sum is σ = 494968320. Its totient is φ = 33080320.

The previous prime is 141406319. The next prime is 141406333. The reversal of 141406320 is 23604141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75637 + ... + 77483.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2141406320 is an apocalyptic number.

141406320 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 141406320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

141406320 is an abundant number, since it is smaller than the sum of its proper divisors (353562000).

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

141406320 is a wasteful number, since it uses less digits than its factorization.

141406320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 141406320 is about 11891.4389373196. The cubic root of 141406320 is about 520.9822656470.

The spelling of 141406320 in words is "one hundred forty-one million, four hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1847 1914 2320 2552 2640 3190 3480 3694 3828 4785 5104 5541 6380 6960 7388 7656 9235 9570 11082 12760 14776 15312 18470 19140 20317 22164 25520 27705 29552 36940 38280 40634 44328 53563 55410 60951 73880 76560 81268 88656 101585 107126 110820 121902 147760 160689 162536 203170 214252 221640 243804 267815 304755 321378 325072 406340 428504 443280 487608 535630 589193 609510 642756 803445 812680 857008 975216 1071260 1178386 1219020 1285512 1606890 1625360 1767579 2142520 2356772 2438040 2571024 2945965 3213780 3535158 4285040 4713544 4876080 5891930 6427560 7070316 8837895 9427088 11783860 12855120 14140632 17675790 23567720 28281264 35351580 47135440 70703160 141406320