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1226640 = 243519269
BaseRepresentation
bin100101011011110010000
32022022122010
410223132100
5303223030
642142520
713266132
oct4533620
92268563
101226640
11768658
124b1a40
1333c42c
1423d052
151936b0
hex12b790

1226640 has 80 divisors (see below), whose sum is σ = 4017600. Its totient is φ = 308736.

The previous prime is 1226629. The next prime is 1226651. The reversal of 1226640 is 466221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1226629) and next prime (1226651).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4426 + ... + 4694.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

21226640 is an apocalyptic number.

1226640 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 1226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008800).

1226640 is an abundant number, since it is smaller than the sum of its proper divisors (2790960).

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

1226640 is a wasteful number, since it uses less digits than its factorization.

1226640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1226640 is about 1107.5378097383. The cubic root of 1226640 is about 107.0464758651.

The spelling of 1226640 in words is "one million, two hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 269 285 304 380 456 538 570 760 807 912 1076 1140 1345 1520 1614 2152 2280 2690 3228 4035 4304 4560 5111 5380 6456 8070 10222 10760 12912 15333 16140 20444 21520 25555 30666 32280 40888 51110 61332 64560 76665 81776 102220 122664 153330 204440 245328 306660 408880 613320 1226640