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141682440 = 23354725121
BaseRepresentation
bin10000111000111…
…10011100001000
3100212121012202210
420130132130020
5242232314230
622020425120
73340165224
oct1034363410
9325535683
10141682440
1172a81129
123b5481a0
1323479083
1414b61784
15c689eb0
hex871e708

141682440 has 64 divisors (see below), whose sum is σ = 434108160. Its totient is φ = 36976640.

The previous prime is 141682439. The next prime is 141682441. The reversal of 141682440 is 44286141.

It is an interprime number because it is at equal distance from previous prime (141682439) and next prime (141682441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141682398 and 141682407.

It is not an unprimeable number, because it can be changed into a prime (141682441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6921 + ... + 18200.

It is an arithmetic number, because the mean of its divisors is an integer number (6782940).

Almost surely, 2141682440 is an apocalyptic number.

141682440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141682440 is an abundant number, since it is smaller than the sum of its proper divisors (292425720).

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

141682440 is a wasteful number, since it uses less digits than its factorization.

141682440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25182 (or 25178 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 141682440 is about 11903.0433083309. The cubic root of 141682440 is about 521.3211474633.

The spelling of 141682440 in words is "one hundred forty-one million, six hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 25121 50242 75363 100484 125605 150726 200968 251210 301452 376815 502420 602904 753630 1004840 1180687 1507260 2361374 3014520 3542061 4722748 5903435 7084122 9445496 11806870 14168244 17710305 23613740 28336488 35420610 47227480 70841220 141682440