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141966320 = 24517472221
BaseRepresentation
bin10000111011000…
…11101111110000
3100220010122011212
420131203233300
5242320410240
622030455252
73342456656
oct1035435760
9326118155
10141966320
1173155441
123b664528
1323548352
1414bd6dd6
15c6e4165
hex8763bf0

141966320 has 80 divisors (see below), whose sum is σ = 357084288. Its totient is φ = 52285440.

The previous prime is 141966301. The next prime is 141966343. The reversal of 141966320 is 23669141.

141966320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1419663203 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62810 + ... + 65030.

Almost surely, 2141966320 is an apocalyptic number.

141966320 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 141966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178542144).

141966320 is an abundant number, since it is smaller than the sum of its proper divisors (215117968).

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

141966320 is a wasteful number, since it uses less digits than its factorization.

141966320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 141966320 is about 11914.9620226000. The cubic root of 141966320 is about 521.6690944075.

The spelling of 141966320 in words is "one hundred forty-one million, nine hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 47 68 80 85 94 136 170 188 235 272 340 376 470 680 752 799 940 1360 1598 1880 2221 3196 3760 3995 4442 6392 7990 8884 11105 12784 15980 17768 22210 31960 35536 37757 44420 63920 75514 88840 104387 151028 177680 188785 208774 302056 377570 417548 521935 604112 755140 835096 1043870 1510280 1670192 1774579 2087740 3020560 3549158 4175480 7098316 8350960 8872895 14196632 17745790 28393264 35491580 70983160 141966320