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142655200 = 2552237753
BaseRepresentation
bin10001000000010…
…11111011100000
3100221102122010221
420200023323200
5243004431300
622053332424
73351356242
oct1040137340
9327378127
10142655200
1173585a66
123b937114
1323729a7c
1414d36092
15c7cd31a
hex880bee0

142655200 has 72 divisors (see below), whose sum is σ = 363445488. Its totient is φ = 54574080.

The previous prime is 142655197. The next prime is 142655203. The reversal of 142655200 is 2556241.

It is an interprime number because it is at equal distance from previous prime (142655197) and next prime (142655203).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142655203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14524 + ... + 22276.

It is an arithmetic number, because the mean of its divisors is an integer number (5047854).

Almost surely, 2142655200 is an apocalyptic number.

142655200 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 142655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181722744).

142655200 is an abundant number, since it is smaller than the sum of its proper divisors (220790288).

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

142655200 is a wasteful number, since it uses less digits than its factorization.

142655200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7796 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 142655200 is about 11943.8352299418. The cubic root of 142655200 is about 522.5115188657.

The spelling of 142655200 in words is "one hundred forty-two million, six hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 920 1150 1840 2300 3680 4600 7753 9200 15506 18400 31012 38765 62024 77530 124048 155060 178319 193825 248096 310120 356638 387650 620240 713276 775300 891595 1240480 1426552 1550600 1783190 2853104 3101200 3566380 4457975 5706208 6202400 7132760 8915950 14265520 17831900 28531040 35663800 71327600 142655200