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1323972 = 2233132341
BaseRepresentation
bin101000011001111000100
32111021011000
411003033010
5314331342
644213300
714152656
oct5031704
92437130
101323972
118247a1
1253a230
13374820
142666d6
151b244c
hex1433c4

1323972 has 96 divisors (see below), whose sum is σ = 3951360. Its totient is φ = 380160.

The previous prime is 1323967. The next prime is 1323997. The reversal of 1323972 is 2793231.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32272 + ... + 32312.

It is an arithmetic number, because the mean of its divisors is an integer number (41160).

21323972 is an apocalyptic number.

1323972 is a gapful number since it is divisible by the number (12) 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 1323972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975680).

1323972 is an abundant number, since it is smaller than the sum of its proper divisors (2627388).

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

1323972 is a wasteful number, since it uses less digits than its factorization.

1323972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 1323972 is about 1150.6398220121. The cubic root of 1323972 is about 109.8060494144.

It can be divided in two parts, 1323 and 972, that multiplied together give a square (1285956 = 11342).

The spelling of 1323972 in words is "one million, three hundred twenty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 41 46 52 54 69 78 82 92 108 117 123 138 156 164 207 234 246 276 299 351 369 414 468 492 533 598 621 702 738 828 897 943 1066 1107 1196 1242 1404 1476 1599 1794 1886 2132 2214 2484 2691 2829 3198 3588 3772 4428 4797 5382 5658 6396 8073 8487 9594 10764 11316 12259 14391 16146 16974 19188 24518 25461 28782 32292 33948 36777 49036 50922 57564 73554 101844 110331 147108 220662 330993 441324 661986 1323972