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141785820 = 2232511101709
BaseRepresentation
bin10000111001101…
…11101011011100
3100212210110120200
420130313223130
5242244121240
622022543500
73341105511
oct1034675334
9325713520
10141785820
1173041870
123b597b90
13234b4147
1414b8b308
15c6aa930
hex8737adc

141785820 has 144 divisors (see below), whose sum is σ = 474495840. Its totient is φ = 33984000.

The previous prime is 141785753. The next prime is 141785849. The reversal of 141785820 is 28587141.

141785820 is a `hidden beast` number, since 1 + 4 + 1 + 78 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 199626 + ... + 200334.

It is an arithmetic number, because the mean of its divisors is an integer number (3295110).

Almost surely, 2141785820 is an apocalyptic number.

141785820 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 141785820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237247920).

141785820 is an abundant number, since it is smaller than the sum of its proper divisors (332710020).

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

141785820 is a wasteful number, since it uses less digits than its factorization.

141785820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 141785820 is about 11907.3851033718. The cubic root of 141785820 is about 521.4479123548.

The spelling of 141785820 in words is "one hundred forty-one million, seven hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 101 110 132 165 180 198 202 220 303 330 396 404 495 505 606 660 709 909 990 1010 1111 1212 1418 1515 1818 1980 2020 2127 2222 2836 3030 3333 3545 3636 4254 4444 4545 5555 6060 6381 6666 7090 7799 8508 9090 9999 10635 11110 12762 13332 14180 15598 16665 18180 19998 21270 22220 23397 25524 31196 31905 33330 38995 39996 42540 46794 49995 63810 66660 70191 71609 77990 93588 99990 116985 127620 140382 143218 155980 199980 214827 233970 280764 286436 350955 358045 429654 467940 644481 701910 716090 787699 859308 1074135 1288962 1403820 1432180 1575398 2148270 2363097 2577924 3150796 3222405 3938495 4296540 4726194 6444810 7089291 7876990 9452388 11815485 12889620 14178582 15753980 23630970 28357164 35446455 47261940 70892910 141785820