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141682772 = 227112193171
BaseRepresentation
bin10000111000111…
…10100001010100
3100212121020020002
420130132201110
5242232322042
622020430432
73340166210
oct1034364124
9325536202
10141682772
1172a81400
123b548418
132347927a
1414b61940
15c68a132
hex871e854

141682772 has 144 divisors (see below), whose sum is σ = 343203840. Its totient is φ = 49896000.

The previous prime is 141682733. The next prime is 141682781. The reversal of 141682772 is 277286141.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1995497 + ... + 1995567.

It is an arithmetic number, because the mean of its divisors is an integer number (2383360).

Almost surely, 2141682772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141682772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

141682772 is an abundant number, since it is smaller than the sum of its proper divisors (201521068).

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

141682772 is a wasteful number, since it uses less digits than its factorization.

141682772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 141682772 is about 11903.0572543360. The cubic root of 141682772 is about 521.3215546615.

The spelling of 141682772 in words is "one hundred forty-one million, six hundred eighty-two thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 11 14 19 22 28 31 38 44 62 71 76 77 121 124 133 142 154 209 217 242 266 284 308 341 418 434 484 497 532 589 682 781 836 847 868 994 1178 1349 1364 1463 1562 1694 1988 2201 2299 2356 2387 2698 2926 3124 3388 3751 4123 4402 4598 4774 5396 5467 5852 6479 7502 8246 8591 8804 9196 9443 9548 10934 12958 14839 15004 15407 16093 16492 17182 18886 21868 24211 25916 26257 29678 30814 32186 34364 37772 41819 45353 48422 52514 59356 60137 61628 64372 71269 83638 90706 96844 103873 105028 120274 142538 163229 167276 169477 181412 207746 240548 266321 285076 292733 326458 338954 415492 460009 498883 532642 585466 652916 677908 920018 997766 1065284 1142603 1170932 1840036 1864247 1995532 2285206 3220063 3728494 4570412 5060099 6440126 7456988 10120198 12880252 20240396 35420693 70841386 141682772