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142431600 = 24352196247
BaseRepresentation
bin10000111110101…
…01010101110000
3100221000021102110
420133111111300
5242430302400
622044445320
73346435323
oct1037252560
9327007373
10142431600
1173442a73
123b849840
132367c06c
1414cb87ba
15c786e50
hex87d5570

142431600 has 120 divisors (see below), whose sum is σ = 480346240. Its totient is φ = 35976960.

The previous prime is 142431551. The next prime is 142431613. The reversal of 142431600 is 6134241.

142431600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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, 19677 + ... + 25923.

Almost surely, 2142431600 is an apocalyptic number.

142431600 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 142431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240173120).

142431600 is an abundant number, since it is smaller than the sum of its proper divisors (337914640).

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

142431600 is a wasteful number, since it uses less digits than its factorization.

142431600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 142431600 is about 11934.4710817028. The cubic root of 142431600 is about 522.2383785220.

Adding to 142431600 its reverse (6134241), we get a palindrome (148565841).

The spelling of 142431600 in words is "one hundred forty-two million, four hundred thirty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 6247 7600 11400 12494 18741 22800 24988 31235 37482 49976 62470 74964 93705 99952 118693 124940 149928 156175 187410 237386 249880 299856 312350 356079 374820 468525 474772 499760 593465 624700 712158 749640 937050 949544 1186930 1249400 1424316 1499280 1780395 1874100 1899088 2373860 2498800 2848632 2967325 3560790 3748200 4747720 5697264 5934650 7121580 7496400 8901975 9495440 11869300 14243160 17803950 23738600 28486320 35607900 47477200 71215800 142431600