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12258640 = 245314943
BaseRepresentation
bin101110110000…
…110101010000
3212001210200201
4232300311100
511114234030
61114424544
7206124322
oct56606520
925053621
1012258640
116a13109
124132154
132702944
1418b1612
1511222ca
hexbb0d50

12258640 has 40 divisors (see below), whose sum is σ = 29426688. Its totient is φ = 4744320.

The previous prime is 12258637. The next prime is 12258679. The reversal of 12258640 is 4685221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12258599 and 12258608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 4951.

Almost surely, 212258640 is an apocalyptic number.

12258640 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 12258640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14713344).

12258640 is an abundant number, since it is smaller than the sum of its proper divisors (17168048).

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

12258640 is a wasteful number, since it uses less digits than its factorization.

12258640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 12258640 is about 3501.2340681537. The cubic root of 12258640 is about 230.5759980154.

The spelling of 12258640 in words is "twelve million, two hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4943 9886 19772 24715 39544 49430 79088 98860 153233 197720 306466 395440 612932 766165 1225864 1532330 2451728 3064660 6129320 12258640