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142003400 = 23527119221
BaseRepresentation
bin10000111011011…
…00110011001000
3100220012112001012
420131230303020
5242323102100
622031343052
73343003040
oct1035546310
9326175035
10142003400
1173180290
123b681a88
132355c1a6
1414c06720
15c700135
hex876ccc8

142003400 has 96 divisors (see below), whose sum is σ = 411670080. Its totient is φ = 44256000.

The previous prime is 142003387. The next prime is 142003409. The reversal of 142003400 is 4300241.

It is a super-2 number, since 2×1420034002 = 40329931223120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142003409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10790 + ... + 20010.

It is an arithmetic number, because the mean of its divisors is an integer number (4288230).

Almost surely, 2142003400 is an apocalyptic number.

142003400 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 142003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205835040).

142003400 is an abundant number, since it is smaller than the sum of its proper divisors (269666680).

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

142003400 is a wasteful number, since it uses less digits than its factorization.

142003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 142003400 is about 11916.5179477899. The cubic root of 142003400 is about 521.7145084798.

Adding to 142003400 its reverse (4300241), we get a palindrome (146303641).

The spelling of 142003400 in words is "one hundred forty-two million, three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 9221 15400 18442 36884 46105 64547 73768 92210 101431 129094 184420 202862 230525 258188 322735 368840 405724 461050 507155 516376 645470 710017 811448 922100 1014310 1290940 1420034 1613675 1844200 2028620 2535775 2581880 2840068 3227350 3550085 4057240 5071550 5680136 6454700 7100170 10143100 12909400 14200340 17750425 20286200 28400680 35500850 71001700 142003400