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141219840 = 211354597
BaseRepresentation
bin10000110101011…
…01100000000000
3100211201201012110
420122231200000
5242123013330
622002455320
73333230436
oct1032554000
9324651173
10141219840
1172795613
123b364540
1323346648
1414a80d56
15c5e7db0
hex86ad800

141219840 has 96 divisors (see below), whose sum is σ = 451891440. Its totient is φ = 37650432.

The previous prime is 141219817. The next prime is 141219851. The reversal of 141219840 is 48912141.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 141219798 and 141219807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28422 + ... + 33018.

Almost surely, 2141219840 is an apocalyptic number.

141219840 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 141219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225945720).

141219840 is an abundant number, since it is smaller than the sum of its proper divisors (310671600).

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

141219840 is an equidigital number, since it uses as much as digits as its factorization.

141219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 141219840 is about 11883.5954155298. The cubic root of 141219840 is about 520.7531492702.

The spelling of 141219840 in words is "one hundred forty-one million, two hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4597 5120 6144 7680 9194 10240 13791 15360 18388 22985 27582 30720 36776 45970 55164 68955 73552 91940 110328 137910 147104 183880 220656 275820 294208 367760 441312 551640 588416 735520 882624 1103280 1176832 1471040 1765248 2206560 2353664 2942080 3530496 4413120 4707328 5884160 7060992 8826240 9414656 11768320 14121984 17652480 23536640 28243968 35304960 47073280 70609920 141219840