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142572864 = 2637432467
BaseRepresentation
bin10000111111101…
…11110101000000
3100221021110012110
420133313311000
5242444312424
622051455320
73350564220
oct1037676500
9327243173
10142572864
117352a115
123b8b7540
13236cb455
1414d14080
15c7b3c29
hex87f7d40

142572864 has 112 divisors (see below), whose sum is σ = 441317888. Its totient is φ = 39771648.

The previous prime is 142572847. The next prime is 142572889. The reversal of 142572864 is 468275241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56559 + ... + 59025.

Almost surely, 2142572864 is an apocalyptic number.

142572864 is a gapful number since it is divisible by the number (14) 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 142572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220658944).

142572864 is an abundant number, since it is smaller than the sum of its proper divisors (298745024).

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

142572864 is a wasteful number, since it uses less digits than its factorization.

142572864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2522 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 142572864 is about 11940.3879333965. The cubic root of 142572864 is about 522.4109738968.

The spelling of 142572864 in words is "one hundred forty-two million, five hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1344 1376 1806 2064 2408 2467 2752 3612 4128 4816 4934 7224 7401 8256 9632 9868 14448 14802 17269 19264 19736 28896 29604 34538 39472 51807 57792 59208 69076 78944 103614 106081 118416 138152 157888 207228 212162 236832 276304 318243 414456 424324 473664 552608 636486 742567 828912 848648 1105216 1272972 1485134 1657824 1697296 2227701 2545944 2970268 3315648 3394592 4455402 5091888 5940536 6789184 8910804 10183776 11881072 17821608 20367552 23762144 35643216 47524288 71286432 142572864