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142355100 = 223523115307
BaseRepresentation
bin10000111110000…
…10101010011100
3100220212101111010
420133002222130
5242420330400
622043055220
73345666306
oct1037025234
9326771433
10142355100
11733a0548
123b811510
13236532b4
1414c98976
15c76e450
hex87c2a9c

142355100 has 72 divisors (see below), whose sum is σ = 425195008. Its totient is φ = 36734400.

The previous prime is 142355089. The next prime is 142355117. The reversal of 142355100 is 1553241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1647 + ... + 16953.

Almost surely, 2142355100 is an apocalyptic number.

142355100 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 142355100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212597504).

142355100 is an abundant number, since it is smaller than the sum of its proper divisors (282839908).

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

142355100 is a wasteful number, since it uses less digits than its factorization.

142355100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15355 (or 15348 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 142355100 is about 11931.2656495445. The cubic root of 142355100 is about 522.1448637151.

The spelling of 142355100 in words is "one hundred forty-two million, three hundred fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 15307 30614 45921 61228 76535 91842 153070 183684 229605 306140 382675 459210 474517 765350 918420 949034 1148025 1423551 1530700 1898068 2296050 2372585 2847102 4592100 4745170 5694204 7117755 9490340 11862925 14235510 23725850 28471020 35588775 47451700 71177550 142355100