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142421400 = 233252117193
BaseRepresentation
bin10000111110100…
…10110110011000
3100220222202102200
420133102312120
5242424441100
622044330200
73346363512
oct1037226630
9326882380
10142421400
1173436340
123b843960
1323677524
1414cb4bb2
15c783e00
hex87d2d98

142421400 has 144 divisors (see below), whose sum is σ = 521852760. Its totient is φ = 34521600.

The previous prime is 142421381. The next prime is 142421401. The reversal of 142421400 is 4124241.

142421400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142421401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16204 + ... + 23396.

Almost surely, 2142421400 is an apocalyptic number.

142421400 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 142421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260926380).

142421400 is an abundant number, since it is smaller than the sum of its proper divisors (379431360).

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

142421400 is a wasteful number, since it uses less digits than its factorization.

142421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142421400 is about 11934.0437404930. The cubic root of 142421400 is about 522.2259118161.

Adding to 142421400 its reverse (4124241), we get a palindrome (146545641).

The spelling of 142421400 in words is "one hundred forty-two million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 7193 9900 14386 19800 21579 28772 35965 43158 57544 64737 71930 79123 86316 107895 129474 143860 158246 172632 179825 215790 237369 258948 287720 316492 323685 359650 395615 431580 474738 517896 539475 632984 647370 712107 719300 791230 863160 949476 1078950 1186845 1294740 1424214 1438600 1582460 1618425 1898952 1978075 2157900 2373690 2589480 2848428 3164920 3236850 3560535 3956150 4315800 4747380 5696856 5934225 6473700 7121070 7912300 9494760 11868450 12947400 14242140 15824600 17802675 23736900 28484280 35605350 47473800 71210700 142421400