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142151400 = 233252151523
BaseRepresentation
bin10000111100100…
…00111011101000
3100220111001001200
420132100323220
5242342321100
622034444200
73344160366
oct1036207350
9326431050
10142151400
11732714a6
123b733660
13235b1671
1414c44636
15c72de00
hex8790ee8

142151400 has 144 divisors (see below), whose sum is σ = 481472160. Its totient is φ = 37584000.

The previous prime is 142151381. The next prime is 142151479. The reversal of 142151400 is 4151241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 271539 + ... + 272061.

Almost surely, 2142151400 is an apocalyptic number.

142151400 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 142151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240736080).

142151400 is an abundant number, since it is smaller than the sum of its proper divisors (339320760).

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

142151400 is a wasteful number, since it uses less digits than its factorization.

142151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 142151400 is about 11922.7261983156. The cubic root of 142151400 is about 521.8956941368.

The spelling of 142151400 in words is "one hundred forty-two million, one hundred fifty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 151 180 200 225 300 302 360 450 453 523 600 604 755 900 906 1046 1208 1359 1510 1569 1800 1812 2092 2265 2615 2718 3020 3138 3624 3775 4184 4530 4707 5230 5436 6040 6276 6795 7550 7845 9060 9414 10460 10872 11325 12552 13075 13590 15100 15690 18120 18828 20920 22650 23535 26150 27180 30200 31380 33975 37656 39225 45300 47070 52300 54360 62760 67950 78450 78973 90600 94140 104600 117675 135900 156900 157946 188280 235350 236919 271800 313800 315892 394865 470700 473838 631784 710757 789730 941400 947676 1184595 1421514 1579460 1895352 1974325 2369190 2843028 3158920 3553785 3948650 4738380 5686056 5922975 7107570 7897300 9476760 11845950 14215140 15794600 17768925 23691900 28430280 35537850 47383800 71075700 142151400