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12093720 = 2335313251
BaseRepresentation
bin101110001000…
…100100011000
3211202102110120
4232020210120
511043444340
61111113240
7204536442
oct56104430
924672416
1012093720
116910211
124072820
132675862
14186b492
1510dd4d0
hexb88918

12093720 has 64 divisors (see below), whose sum is σ = 37463040. Its totient is φ = 3120000.

The previous prime is 12093713. The next prime is 12093727. The reversal of 12093720 is 2739021.

It is an interprime number because it is at equal distance from previous prime (12093713) and next prime (12093727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12093727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095 + ... + 5345.

It is an arithmetic number, because the mean of its divisors is an integer number (585360).

Almost surely, 212093720 is an apocalyptic number.

12093720 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 12093720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18731520).

12093720 is an abundant number, since it is smaller than the sum of its proper divisors (25369320).

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

12093720 is a wasteful number, since it uses less digits than its factorization.

12093720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 12093720 is about 3477.6026224973. The cubic root of 12093720 is about 229.5373181326.

The spelling of 12093720 in words is "twelve million, ninety-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3251 3720 6502 9753 13004 16255 19506 26008 32510 39012 48765 65020 78024 97530 100781 130040 195060 201562 302343 390120 403124 503905 604686 806248 1007810 1209372 1511715 2015620 2418744 3023430 4031240 6046860 12093720