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142374100 = 225211347373
BaseRepresentation
bin10000111110001…
…11010011010100
3100220220100112211
420133013103110
5242421432400
622043323204
73346105561
oct1037072324
9326810484
10142374100
1173403850
123b820504
132365bb3b
1414ca1868
15c774dba
hex87c74d4

142374100 has 72 divisors (see below), whose sum is σ = 338915808. Its totient is φ = 51484800.

The previous prime is 142374091. The next prime is 142374107. The reversal of 142374100 is 1473241.

142374100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142374107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381514 + ... + 381886.

It is an arithmetic number, because the mean of its divisors is an integer number (4707164).

Almost surely, 2142374100 is an apocalyptic number.

142374100 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 142374100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169457904).

142374100 is an abundant number, since it is smaller than the sum of its proper divisors (196541708).

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

142374100 is a wasteful number, since it uses less digits than its factorization.

142374100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 142374100 is about 11932.0618503258. The cubic root of 142374100 is about 522.1680927414.

The spelling of 142374100 in words is "one hundred forty-two million, three hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 347 373 550 694 746 1100 1388 1492 1735 1865 3470 3730 3817 4103 6940 7460 7634 8206 8675 9325 15268 16412 17350 18650 19085 20515 34700 37300 38170 41030 76340 82060 95425 102575 129431 190850 205150 258862 381700 410300 517724 647155 1294310 1423741 2588620 2847482 3235775 5694964 6471550 7118705 12943100 14237410 28474820 35593525 71187050 142374100