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142333400 = 235211312087
BaseRepresentation
bin10000111101111…
…01010111011000
3100220211021201102
420132331113120
5242414132100
622042410532
73345546116
oct1036752730
9326737642
10142333400
1173386210
123b800a48
1323646461
1414c90ab6
15c767cd5
hex87bd5d8

142333400 has 96 divisors (see below), whose sum is σ = 372833280. Its totient is φ = 50064000.

The previous prime is 142333381. The next prime is 142333417. The reversal of 142333400 is 4333241.

142333400 is digitally balanced in base 3, 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 (20).

It is a congruent number.

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, 67157 + ... + 69243.

It is an arithmetic number, because the mean of its divisors is an integer number (3883680).

Almost surely, 2142333400 is an apocalyptic number.

142333400 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 142333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186416640).

142333400 is an abundant number, since it is smaller than the sum of its proper divisors (230499880).

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

142333400 is a wasteful number, since it uses less digits than its factorization.

142333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 142333400 is about 11930.3562394423. The cubic root of 142333400 is about 522.1183311935.

Adding to 142333400 its reverse (4333241), we get a palindrome (146666641).

The spelling of 142333400 in words is "one hundred forty-two million, three hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 1100 1240 1364 1550 1705 2087 2200 2728 3100 3410 4174 6200 6820 8348 8525 10435 13640 16696 17050 20870 22957 34100 41740 45914 52175 64697 68200 83480 91828 104350 114785 129394 183656 208700 229570 258788 323485 417400 459140 517576 573925 646970 711667 918280 1147850 1293940 1423334 1617425 2295700 2587880 2846668 3234850 3558335 4591400 5693336 6469700 7116670 12939400 14233340 17791675 28466680 35583350 71166700 142333400