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12623000 = 235313971
BaseRepresentation
bin110000001001…
…110010011000
3212202022111112
4300021302120
511212414000
61130315452
7212202515
oct60116230
925668445
1012623000
117141935
124288b88
1327cc740
14196830c
151195235
hexc09c98

12623000 has 64 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 4656000.

The previous prime is 12622997. The next prime is 12623003. The reversal of 12623000 is 32621.

It is an interprime number because it is at equal distance from previous prime (12622997) and next prime (12623003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12623003) 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, 12515 + ... + 13485.

Almost surely, 212623000 is an apocalyptic number.

12623000 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 12623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

12623000 is an abundant number, since it is smaller than the sum of its proper divisors (19219720).

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

12623000 is a wasteful number, since it uses less digits than its factorization.

12623000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 12623000 is about 3552.8861507231. The cubic root of 12623000 is about 232.8381790062.

Adding to 12623000 its reverse (32621), we get a palindrome (12655621).

The spelling of 12623000 in words is "twelve million, six hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 971 1000 1300 1625 1942 2600 3250 3884 4855 6500 7768 9710 12623 13000 19420 24275 25246 38840 48550 50492 63115 97100 100984 121375 126230 194200 242750 252460 315575 485500 504920 631150 971000 1262300 1577875 2524600 3155750 6311500 12623000