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1264920 = 233583127
BaseRepresentation
bin100110100110100011000
32101021010220
410310310120
5310434140
643040040
713515546
oct4646430
92337126
101264920
11794398
12510020
13353997
1424cd96
1519ebd0
hex134d18

1264920 has 64 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 330624.

The previous prime is 1264909. The next prime is 1264933. The reversal of 1264920 is 294621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9897 + ... + 10023.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

21264920 is an apocalyptic number.

1264920 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 1264920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360).

1264920 is an abundant number, since it is smaller than the sum of its proper divisors (2605800).

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

1264920 is a wasteful number, since it uses less digits than its factorization.

1264920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1264920 is about 1124.6866230199. The cubic root of 1264920 is about 108.1486293819.

Subtracting from 1264920 its reverse (294621), we obtain a cube (970299 = 993).

The spelling of 1264920 in words is "one million, two hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 127 166 249 254 332 381 415 498 508 635 664 762 830 996 1016 1245 1270 1524 1660 1905 1992 2490 2540 3048 3320 3810 4980 5080 7620 9960 10541 15240 21082 31623 42164 52705 63246 84328 105410 126492 158115 210820 252984 316230 421640 632460 1264920