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141705216 = 21432312
BaseRepresentation
bin10000111001001…
…00000000000000
3100212122101000100
420130210000000
5242234031331
622021122400
73340321512
oct1034440000
9325571010
10141705216
1172a97254
123b559400
1323486553
1414b69bb2
15c691ae6
hex8724000

141705216 has 135 divisors (see below), whose sum is σ = 422989203. Its totient is φ = 45711360.

The previous prime is 141705163. The next prime is 141705259. The reversal of 141705216 is 612507141.

It is a happy number.

The square root of 141705216 is 11904.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 141705216.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4571121 + ... + 4571151.

Almost surely, 2141705216 is an apocalyptic number.

141705216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

141705216 is the 11904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141705216

141705216 is an abundant number, since it is smaller than the sum of its proper divisors (281283987).

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

141705216 is an frugal number, since it uses more digits than its factorization.

141705216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The cubic root of 141705216 is about 521.3490807633.

The spelling of 141705216 in words is "one hundred forty-one million, seven hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 961 992 1024 1116 1152 1488 1536 1922 1984 2048 2232 2304 2883 2976 3072 3844 3968 4096 4464 4608 5766 5952 6144 7688 7936 8192 8649 8928 9216 11532 11904 12288 15376 15872 16384 17298 17856 18432 23064 23808 24576 30752 31744 34596 35712 36864 46128 47616 49152 61504 63488 69192 71424 73728 92256 95232 123008 126976 138384 142848 147456 184512 190464 246016 253952 276768 285696 369024 380928 492032 507904 553536 571392 738048 761856 984064 1107072 1142784 1476096 1523712 1968128 2214144 2285568 2952192 3936256 4428288 4571136 5904384 7872512 8856576 11808768 15745024 17713152 23617536 35426304 47235072 70852608 141705216