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142372500 = 2235441463
BaseRepresentation
bin10000111110001…
…10111010010100
3100220220021100120
420133012322110
5242421410000
622043311540
73346101114
oct1037067224
9326807316
10142372500
1173402626
123b81b5b0
132365b1aa
1414ca1044
15c7746a0
hex87c6e94

142372500 has 120 divisors (see below), whose sum is σ = 426163584. Its totient is φ = 36960000.

The previous prime is 142372493. The next prime is 142372511. The reversal of 142372500 is 5273241.

142372500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307269 + ... + 307731.

Almost surely, 2142372500 is an apocalyptic number.

142372500 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 142372500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213081792).

142372500 is an abundant number, since it is smaller than the sum of its proper divisors (283791084).

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

142372500 is a wasteful number, since it uses less digits than its factorization.

142372500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 142372500 is about 11931.9948038876. The cubic root of 142372500 is about 522.1661366926.

The spelling of 142372500 in words is "one hundred forty-two million, three hundred seventy-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 125 150 164 205 246 250 300 375 410 463 492 500 615 625 750 820 926 1025 1230 1250 1389 1500 1852 1875 2050 2315 2460 2500 2778 3075 3750 4100 4630 5125 5556 6150 6945 7500 9260 10250 11575 12300 13890 15375 18983 20500 23150 25625 27780 30750 34725 37966 46300 51250 56949 57875 61500 69450 75932 76875 94915 102500 113898 115750 138900 153750 173625 189830 227796 231500 284745 289375 307500 347250 379660 474575 569490 578750 694500 868125 949150 1138980 1157500 1423725 1736250 1898300 2372875 2847450 3472500 4745750 5694900 7118625 9491500 11864375 14237250 23728750 28474500 35593125 47457500 71186250 142372500