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1264120 = 2351113217
BaseRepresentation
bin100110100100111111000
32101020001021
410310213320
5310422440
643032224
713513324
oct4644770
92336037
101264120
11793830
1250b674
13353500
1424c984
1519e84a
hex1349f8

1264120 has 96 divisors (see below), whose sum is σ = 3557520. Its totient is φ = 399360.

The previous prime is 1264063. The next prime is 1264129. The reversal of 1264120 is 214621.

1264120 = T101 + T102 + ... + T204.

It is a junction number, because it is equal to n+sod(n) for n = 1264094 and 1264103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264129) by changing a digit.

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, 74352 + ... + 74368.

21264120 is an apocalyptic number.

1264120 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 1264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778760).

1264120 is an abundant number, since it is smaller than the sum of its proper divisors (2293400).

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

1264120 is a wasteful number, since it uses less digits than its factorization.

1264120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1264120 is about 1124.3309121429. The cubic root of 1264120 is about 108.1258250018.

Adding to 1264120 its reverse (214621), we get a palindrome (1478741).

The spelling of 1264120 in words is "one million, two hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 17 20 22 26 34 40 44 52 55 65 68 85 88 104 110 130 136 143 169 170 187 220 221 260 286 338 340 374 440 442 520 572 676 680 715 748 845 884 935 1105 1144 1352 1430 1496 1690 1768 1859 1870 2210 2431 2860 2873 3380 3718 3740 4420 4862 5720 5746 6760 7436 7480 8840 9295 9724 11492 12155 14365 14872 18590 19448 22984 24310 28730 31603 37180 48620 57460 63206 74360 97240 114920 126412 158015 252824 316030 632060 1264120