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1142640 = 24335232
BaseRepresentation
bin100010110111101110000
32011001102000
410112331300
5243031030
640254000
712466212
oct4267560
92131360
101142640
11710534
12471300
13310125
1421a5b2
15178860
hex116f70

1142640 has 120 divisors (see below), whose sum is σ = 4114320. Its totient is φ = 291456.

The previous prime is 1142633. The next prime is 1142651. The reversal of 1142640 is 462411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49669 + ... + 49691.

It is an arithmetic number, because the mean of its divisors is an integer number (34286).

21142640 is an apocalyptic number.

1142640 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 1142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057160).

1142640 is an abundant number, since it is smaller than the sum of its proper divisors (2971680).

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

1142640 is a wasteful number, since it uses less digits than its factorization.

1142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1142640 is about 1068.9434035532. The cubic root of 1142640 is about 104.5449696947.

The spelling of 1142640 in words is "one million, one hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 529 540 552 621 690 720 828 920 1035 1058 1080 1104 1242 1380 1587 1656 1840 2070 2116 2160 2484 2645 2760 3105 3174 3312 4140 4232 4761 4968 5290 5520 6210 6348 7935 8280 8464 9522 9936 10580 12420 12696 14283 15870 16560 19044 21160 23805 24840 25392 28566 31740 38088 42320 47610 49680 57132 63480 71415 76176 95220 114264 126960 142830 190440 228528 285660 380880 571320 1142640