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1242864 = 24347137
BaseRepresentation
bin100101111011011110000
32100010220000
410233123300
5304232424
642350000
713364340
oct4573360
92303800
101242864
11779867
124bb300
1334692c
14244d20
151983c9
hex12f6f0

1242864 has 100 divisors (see below), whose sum is σ = 4141104. Its totient is φ = 352512.

The previous prime is 1242859. The next prime is 1242869. The reversal of 1242864 is 4682421.

It is an interprime number because it is at equal distance from previous prime (1242859) and next prime (1242869).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9004 + ... + 9140.

21242864 is an apocalyptic number.

1242864 is a gapful number since it is divisible by the number (14) 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 1242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070552).

1242864 is an abundant number, since it is smaller than the sum of its proper divisors (2898240).

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

1242864 is a wasteful number, since it uses less digits than its factorization.

1242864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 1242864 is about 1114.8381048385. The cubic root of 1242864 is about 107.5163559033.

The spelling of 1242864 in words is "one million, two hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 137 144 162 168 189 216 252 274 324 336 378 411 432 504 548 567 648 756 822 959 1008 1096 1134 1233 1296 1512 1644 1918 2192 2268 2466 2877 3024 3288 3699 3836 4536 4932 5754 6576 7398 7672 8631 9072 9864 11097 11508 14796 15344 17262 19728 22194 23016 25893 29592 34524 44388 46032 51786 59184 69048 77679 88776 103572 138096 155358 177552 207144 310716 414288 621432 1242864