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142606336 = 22317
BaseRepresentation
bin10001000000000…
…00000000000000
3100221100011010011
420200000000000
5243001400321
622052314304
73351063625
oct1040000000
9327304104
10142606336
1173552284
123b912994
1323710762
1414d2234c
15c7bdae1
hex8800000

142606336 has 48 divisors (see below), whose sum is σ = 301989870. Its totient is φ = 67108864.

The previous prime is 142606333. The next prime is 142606357. The reversal of 142606336 is 633606241.

It can be written as a sum of positive squares in only one way, i.e., 104857600 + 37748736 = 10240^2 + 6144^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 142606298 and 142606307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142606333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 142606336 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8388600 + ... + 8388616.

Almost surely, 2142606336 is an apocalyptic number.

142606336 is a gapful number since it is divisible by the number (16) 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 142606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994935).

142606336 is an abundant number, since it is smaller than the sum of its proper divisors (159383534).

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

142606336 is an frugal number, since it uses more digits than its factorization.

142606336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 142606336 is about 11941.7894806432. The cubic root of 142606336 is about 522.4518530454.

The spelling of 142606336 in words is "one hundred forty-two million, six hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8192 8704 16384 17408 32768 34816 65536 69632 131072 139264 262144 278528 524288 557056 1048576 1114112 2097152 2228224 4194304 4456448 8388608 8912896 17825792 35651584 71303168 142606336