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142556100 = 223521074441
BaseRepresentation
bin10000111111100…
…11101111000100
3100221020121012120
420133303233010
5242443243400
622051245540
73350464311
oct1037635704
9327217176
10142556100
1173518565
123b8a98b0
13236c392b
1414d0bd08
15c7adca0
hex87f3bc4

142556100 has 72 divisors (see below), whose sum is σ = 416410848. Its totient is φ = 37651200.

The previous prime is 142556087. The next prime is 142556129. The reversal of 142556100 is 1655241.

142556100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29880 + ... + 34320.

It is an arithmetic number, because the mean of its divisors is an integer number (5783484).

Almost surely, 2142556100 is an apocalyptic number.

142556100 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 142556100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208205424).

142556100 is an abundant number, since it is smaller than the sum of its proper divisors (273854748).

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

142556100 is a wasteful number, since it uses less digits than its factorization.

142556100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4565 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 142556100 is about 11939.6859255175. The cubic root of 142556100 is about 522.3904977216.

The spelling of 142556100 in words is "one hundred forty-two million, five hundred fifty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 1070 1284 1605 2140 2675 3210 4441 5350 6420 8025 8882 10700 13323 16050 17764 22205 26646 32100 44410 53292 66615 88820 111025 133230 222050 266460 333075 444100 475187 666150 950374 1332300 1425561 1900748 2375935 2851122 4751870 5702244 7127805 9503740 11879675 14255610 23759350 28511220 35639025 47518700 71278050 142556100