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142405780 = 225111913389
BaseRepresentation
bin10000111110011…
…11000010010100
3100220221222000011
420133033002110
5242423441110
622044130004
73346300126
oct1037170224
9326858004
10142405780
1173425630
123b836904
132367039a
1414cad216
15c77e48a
hex87cf094

142405780 has 48 divisors (see below), whose sum is σ = 328043520. Its totient is φ = 51497600.

The previous prime is 142405771. The next prime is 142405789. The reversal of 142405780 is 87504241.

It is an interprime number because it is at equal distance from previous prime (142405771) and next prime (142405789).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142405789) 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 15 ways as a sum of consecutive naturals, for example, 40326 + ... + 43714.

It is an arithmetic number, because the mean of its divisors is an integer number (6834240).

Almost surely, 2142405780 is an apocalyptic number.

142405780 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 142405780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164021760).

142405780 is an abundant number, since it is smaller than the sum of its proper divisors (185637740).

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

142405780 is a wasteful number, since it uses less digits than its factorization.

142405780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 142405780 is about 11933.3892922338. The cubic root of 142405780 is about 522.2068194910.

The spelling of 142405780 in words is "one hundred forty-two million, four hundred five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 191 220 382 764 955 1910 2101 3389 3820 4202 6778 8404 10505 13556 16945 21010 33890 37279 42020 67780 74558 149116 186395 372790 647299 745580 1294598 2589196 3236495 6472990 7120289 12945980 14240578 28481156 35601445 71202890 142405780