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12323840 = 21052983
BaseRepresentation
bin101111000000…
…110000000000
3212012010010112
4233000300000
511123330330
61120050452
7206515364
oct57006000
925163115
1012323840
116a580a1
124163a28
132726519
1418cb2a4
151136795
hexbc0c00

12323840 has 88 divisors (see below), whose sum is σ = 30950640. Its totient is φ = 4702208.

The previous prime is 12323813. The next prime is 12323851. The reversal of 12323840 is 4832321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148439 + ... + 148521.

Almost surely, 212323840 is an apocalyptic number.

12323840 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 12323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475320).

12323840 is an abundant number, since it is smaller than the sum of its proper divisors (18626800).

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

12323840 is an equidigital number, since it uses as much as digits as its factorization.

12323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 12323840 is about 3510.5327231063. The cubic root of 12323840 is about 230.9840634171.

The spelling of 12323840 in words is "twelve million, three hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 83 116 128 145 160 166 232 256 290 320 332 415 464 512 580 640 664 830 928 1024 1160 1280 1328 1660 1856 2320 2407 2560 2656 3320 3712 4640 4814 5120 5312 6640 7424 9280 9628 10624 12035 13280 14848 18560 19256 21248 24070 26560 29696 37120 38512 42496 48140 53120 74240 77024 84992 96280 106240 148480 154048 192560 212480 308096 385120 424960 616192 770240 1232384 1540480 2464768 3080960 6161920 12323840