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141684400 = 245211132477
BaseRepresentation
bin10000111000111…
…10111010110000
3100212121022110101
420130132322300
5242232400100
622020442144
73340204024
oct1034367260
9325538411
10141684400
1172a82650
123b549354
1323479c30
1414b62384
15c68a86a
hex871eeb0

141684400 has 120 divisors (see below), whose sum is σ = 400068144. Its totient is φ = 47539200.

The previous prime is 141684377. The next prime is 141684419. The reversal of 141684400 is 4486141.

141684400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55962 + ... + 58438.

Almost surely, 2141684400 is an apocalyptic number.

141684400 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 141684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200034072).

141684400 is an abundant number, since it is smaller than the sum of its proper divisors (258383744).

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

141684400 is a wasteful number, since it uses less digits than its factorization.

141684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 141684400 is about 11903.1256399317. The cubic root of 141684400 is about 521.3235513951.

The spelling of 141684400 in words is "one hundred forty-one million, six hundred eighty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 130 143 176 200 208 220 260 275 286 325 400 440 520 550 572 650 715 880 1040 1100 1144 1300 1430 2200 2288 2477 2600 2860 3575 4400 4954 5200 5720 7150 9908 11440 12385 14300 19816 24770 27247 28600 32201 39632 49540 54494 57200 61925 64402 99080 108988 123850 128804 136235 161005 198160 217976 247700 257608 272470 322010 354211 435952 495400 515216 544940 644020 681175 708422 805025 990800 1089880 1288040 1362350 1416844 1610050 1771055 2179760 2576080 2724700 2833688 3220100 3542110 5449400 5667376 6440200 7084220 8855275 10898800 12880400 14168440 17710550 28336880 35421100 70842200 141684400