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142210304 = 281741797
BaseRepresentation
bin10000111100111…
…11010100000000
3100220121000212022
420132133110000
5242401212204
622040021012
73344524205
oct1036372400
9326530768
10142210304
1173301785
123b761768
1323602412
1414c5bcac
15c7415be
hex879f500

142210304 has 72 divisors (see below), whose sum is σ = 308280168. Its totient is φ = 65208320.

The previous prime is 142210303. The next prime is 142210319. The reversal of 142210304 is 403012241.

It can be written as a sum of positive squares in 4 ways, for example, as 8761600 + 133448704 = 2960^2 + 11552^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142210301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178034 + ... + 178830.

It is an arithmetic number, because the mean of its divisors is an integer number (4281669).

Almost surely, 2142210304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154140084).

142210304 is an abundant number, since it is smaller than the sum of its proper divisors (166069864).

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

142210304 is an equidigital number, since it uses as much as digits as its factorization.

142210304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 142210304 is about 11925.1961828726. The cubic root of 142210304 is about 521.9677710415.

Adding to 142210304 its reverse (403012241), we get a palindrome (545222545).

The spelling of 142210304 in words is "one hundred forty-two million, two hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 256 272 328 544 656 697 797 1088 1312 1394 1594 2176 2624 2788 3188 4352 5248 5576 6376 10496 11152 12752 13549 22304 25504 27098 32677 44608 51008 54196 65354 89216 102016 108392 130708 178432 204032 216784 261416 433568 522832 555509 867136 1045664 1111018 1734272 2091328 2222036 3468544 4182656 4444072 8365312 8888144 17776288 35552576 71105152 142210304