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1142600 = 235229197
BaseRepresentation
bin100010110111101001000
32011001100112
410112331020
5243030400
640253452
712466124
oct4267510
92131315
101142600
117104a8
12471288
133100c4
1421a584
15178835
hex116f48

1142600 has 48 divisors (see below), whose sum is σ = 2762100. Its totient is φ = 439040.

The previous prime is 1142599. The next prime is 1142633. The reversal of 1142600 is 62411.

It can be written as a sum of positive squares in 6 ways, for example, as 784996 + 357604 = 886^2 + 598^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5702 + ... + 5898.

21142600 is an apocalyptic number.

1142600 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 1142600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381050).

1142600 is an abundant number, since it is smaller than the sum of its proper divisors (1619500).

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

1142600 is a wasteful number, since it uses less digits than its factorization.

1142600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1142600 is about 1068.9246933250. The cubic root of 1142600 is about 104.5437497574.

The spelling of 1142600 in words is "one million, one hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 197 200 232 290 394 580 725 788 985 1160 1450 1576 1970 2900 3940 4925 5713 5800 7880 9850 11426 19700 22852 28565 39400 45704 57130 114260 142825 228520 285650 571300 1142600