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142401072 = 24311283953
BaseRepresentation
bin10000111110011…
…01111000110000
3100220221201112210
420133031320300
5242423313242
622044052120
73346250322
oct1037157060
9326851483
10142401072
1173422040
123b834040
132366b1b8
1414cab612
15c77cd9c
hex87cde30

142401072 has 80 divisors (see below), whose sum is σ = 403152768. Its totient is φ = 42954240.

The previous prime is 142401071. The next prime is 142401097. The reversal of 142401072 is 270104241.

It is a happy number.

142401072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142401071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148948 + ... + 149900.

Almost surely, 2142401072 is an apocalyptic number.

142401072 is a gapful number since it is divisible by the number (12) 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 142401072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201576384).

142401072 is an abundant number, since it is smaller than the sum of its proper divisors (260751696).

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

142401072 is a wasteful number, since it uses less digits than its factorization.

142401072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 142401072 is about 11933.1920289586. The cubic root of 142401072 is about 522.2010646291.

The spelling of 142401072 in words is "one hundred forty-two million, four hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 283 528 566 849 953 1132 1698 1906 2264 2859 3113 3396 3812 4528 5718 6226 6792 7624 9339 10483 11436 12452 13584 15248 18678 20966 22872 24904 31449 37356 41932 45744 49808 62898 74712 83864 125796 149424 167728 251592 269699 503184 539398 809097 1078796 1618194 2157592 2966689 3236388 4315184 5933378 6472776 8900067 11866756 12945552 17800134 23733512 35600268 47467024 71200536 142401072