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140812100 = 2252111343229
BaseRepresentation
bin10000110010010…
…01111101000100
3100210221222212222
420121021331010
5242021441400
621550031512
73326611622
oct1031117504
9323858788
10140812100
1172537240
123b1a8598
1323232b90
14149b6512
15c567185
hex8649f44

140812100 has 144 divisors (see below), whose sum is σ = 368934720. Its totient is φ = 45964800.

The previous prime is 140812093. The next prime is 140812103. The reversal of 140812100 is 1218041.

It is not an unprimeable number, because it can be changed into a prime (140812103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614786 + ... + 615014.

Almost surely, 2140812100 is an apocalyptic number.

140812100 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 140812100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184467360).

140812100 is an abundant number, since it is smaller than the sum of its proper divisors (228122620).

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

140812100 is a wasteful number, since it uses less digits than its factorization.

140812100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 140812100 is about 11866.4274320454. The cubic root of 140812100 is about 520.2514809240.

The spelling of 140812100 in words is "one hundred forty million, eight hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 43 44 50 52 55 65 86 100 110 130 143 172 215 220 229 260 275 286 325 430 458 473 550 559 572 650 715 860 916 946 1075 1100 1118 1145 1300 1430 1892 2150 2236 2290 2365 2519 2795 2860 2977 3575 4300 4580 4730 5038 5590 5725 5954 6149 7150 9460 9847 10076 11180 11450 11825 11908 12298 12595 13975 14300 14885 19694 22900 23650 24596 25190 27950 29770 30745 32747 39388 47300 49235 50380 55900 59540 61490 62975 65494 74425 98470 108317 122980 125950 128011 130988 148850 153725 163735 196940 216634 246175 251900 256022 297700 307450 327470 433268 492350 512044 541585 614900 640055 654940 818675 984700 1083170 1280110 1408121 1637350 2166340 2560220 2707925 2816242 3200275 3274700 5415850 5632484 6400550 7040605 10831700 12801100 14081210 28162420 35203025 70406050 140812100