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141822840 = 233517193659
BaseRepresentation
bin10000111010000…
…00101101111000
3100212212100100210
420131000231320
5242301312330
622023431120
73341321445
oct1035005570
9325770323
10141822840
1173067665
123b5b54a0
13234c7c53
1414b9a9cc
15c6b68b0
hex8740b78

141822840 has 128 divisors (see below), whose sum is σ = 474336000. Its totient is φ = 33712128.

The previous prime is 141822803. The next prime is 141822851. The reversal of 141822840 is 48228141.

It is a super-2 number, since 2×1418228402 = 40227435891331200, which contains 22 as substring.

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 = 141822798 and 141822807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36931 + ... + 40589.

It is an arithmetic number, because the mean of its divisors is an integer number (3705750).

Almost surely, 2141822840 is an apocalyptic number.

141822840 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 141822840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237168000).

141822840 is an abundant number, since it is smaller than the sum of its proper divisors (332513160).

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

141822840 is a wasteful number, since it uses less digits than its factorization.

141822840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 141822840 is about 11908.9394993845. The cubic root of 141822840 is about 521.4932914152.

The spelling of 141822840 in words is "one hundred forty-one million, eight hundred twenty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 380 408 456 510 570 646 680 760 969 1020 1140 1292 1615 1938 2040 2280 2584 3230 3659 3876 4845 6460 7318 7752 9690 10977 12920 14636 18295 19380 21954 29272 36590 38760 43908 54885 62203 69521 73180 87816 109770 124406 139042 146360 186609 208563 219540 248812 278084 311015 347605 373218 417126 439080 497624 556168 622030 695210 746436 834252 933045 1042815 1181857 1244060 1390420 1492872 1668504 1866090 2085630 2363714 2488120 2780840 3545571 3732180 4171260 4727428 5909285 7091142 7464360 8342520 9454856 11818570 14182284 17727855 23637140 28364568 35455710 47274280 70911420 141822840