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1012320 = 253251937
BaseRepresentation
bin11110111001001100000
31220102122100
43313021200
5224343240
633410400
711414241
oct3671140
91812570
101012320
11631631
12409a00
13295a0a
141c4cc8
1514ee30
hexf7260

1012320 has 144 divisors (see below), whose sum is σ = 3734640. Its totient is φ = 248832.

The previous prime is 1012307. The next prime is 1012321. The reversal of 1012320 is 232101.

It is a happy number.

1012320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27342 + ... + 27378.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

21012320 is an apocalyptic number.

1012320 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 1012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867320).

1012320 is an abundant number, since it is smaller than the sum of its proper divisors (2722320).

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

1012320 is a wasteful number, since it uses less digits than its factorization.

1012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1012320 is about 1006.1411431802. The cubic root of 1012320 is about 100.4089916446.

Adding to 1012320 its reverse (232101), we get a palindrome (1244421).

The spelling of 1012320 in words is "one million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 37 38 40 45 48 57 60 72 74 76 80 90 95 96 111 114 120 144 148 152 160 171 180 185 190 222 228 240 285 288 296 304 333 342 360 370 380 444 456 480 555 570 592 608 666 684 703 720 740 760 855 888 912 1110 1140 1184 1332 1368 1406 1440 1480 1520 1665 1710 1776 1824 2109 2220 2280 2664 2736 2812 2960 3040 3330 3420 3515 3552 4218 4440 4560 5328 5472 5624 5920 6327 6660 6840 7030 8436 8880 9120 10545 10656 11248 12654 13320 13680 14060 16872 17760 21090 22496 25308 26640 27360 28120 31635 33744 42180 50616 53280 56240 63270 67488 84360 101232 112480 126540 168720 202464 253080 337440 506160 1012320