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12422640 = 2435191271
BaseRepresentation
bin101111011000…
…110111110000
3212101010122210
4233120313300
511140011030
61122132120
7210406416
oct57306760
925333583
1012422640
11701534a
1241b1040
13275c499
1419152b6
151155bb0
hexbd8df0

12422640 has 80 divisors (see below), whose sum is σ = 38854656. Its totient is φ = 3283200.

The previous prime is 12422633. The next prime is 12422647. The reversal of 12422640 is 4622421.

It is an interprime number because it is at equal distance from previous prime (12422633) and next prime (12422647).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422647) 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, 45705 + ... + 45975.

Almost surely, 212422640 is an apocalyptic number.

12422640 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 12422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19427328).

12422640 is an abundant number, since it is smaller than the sum of its proper divisors (26432016).

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

12422640 is a wasteful number, since it uses less digits than its factorization.

12422640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 12422640 is about 3524.5765703131. The cubic root of 12422640 is about 231.5996861955.

The spelling of 12422640 in words is "twelve million, four hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 271 382 542 573 764 813 955 1084 1146 1355 1528 1626 1910 2168 2292 2710 2865 3056 3252 3820 4065 4336 4584 5420 5730 6504 7640 8130 9168 10840 11460 13008 15280 16260 21680 22920 32520 45840 51761 65040 103522 155283 207044 258805 310566 414088 517610 621132 776415 828176 1035220 1242264 1552830 2070440 2484528 3105660 4140880 6211320 12422640