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142081400 = 23524117327
BaseRepresentation
bin10000111011111…
…11110101111000
3100220100111001002
420131333311320
5242333101100
622033144132
73343446326
oct1035776570
9326314032
10142081400
117322394a
123b6bb048
1323588846
1414c26d16
15c7182d5
hex877fd78

142081400 has 48 divisors (see below), whose sum is σ = 338415840. Its totient is φ = 55443200.

The previous prime is 142081399. The next prime is 142081403. The reversal of 142081400 is 4180241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142081403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464 + ... + 16863.

It is an arithmetic number, because the mean of its divisors is an integer number (7050330).

Almost surely, 2142081400 is an apocalyptic number.

142081400 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 142081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169207920).

142081400 is an abundant number, since it is smaller than the sum of its proper divisors (196334440).

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

142081400 is a wasteful number, since it uses less digits than its factorization.

142081400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17384 (or 17375 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 142081400 is about 11919.7902666112. The cubic root of 142081400 is about 521.8100138999.

The spelling of 142081400 in words is "one hundred forty-two million, eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 17327 34654 69308 86635 138616 173270 346540 433175 693080 710407 866350 1420814 1732700 2841628 3465400 3552035 5683256 7104070 14208140 17760175 28416280 35520350 71040700 142081400