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1223740520 = 235614491117
BaseRepresentation
bin100100011110000…
…1100110001101000
310011021200110101222
41020330030301220
510001234144040
6321233001212
742216423422
oct11074146150
93137613358
101223740520
11578851402
122a19b3208
131666b7322
14b874d812
1572679bb5
hex48f0cc68

1223740520 has 64 divisors (see below), whose sum is σ = 2807298000. Its totient is φ = 479969280.

The previous prime is 1223740519. The next prime is 1223740523. The reversal of 1223740520 is 250473221.

It can be written as a sum of positive squares in 8 ways, for example, as 39967684 + 1183772836 = 6322^2 + 34406^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1223740520.

It is not an unprimeable number, because it can be changed into a prime (1223740523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095002 + ... + 1096118.

Almost surely, 21223740520 is an apocalyptic number.

1223740520 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 1223740520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403649000).

1223740520 is an abundant number, since it is smaller than the sum of its proper divisors (1583557480).

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

1223740520 is a wasteful number, since it uses less digits than its factorization.

1223740520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 1223740520 is about 34982.0028014406. The cubic root of 1223740520 is about 1069.6206533680.

The spelling of 1223740520 in words is "one billion, two hundred twenty-three million, seven hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 449 488 610 898 1117 1220 1796 2234 2245 2440 3592 4468 4490 5585 8936 8980 11170 17960 22340 27389 44680 54778 68137 109556 136274 136945 219112 272548 273890 340685 501533 545096 547780 681370 1003066 1095560 1362740 2006132 2507665 2725480 4012264 5015330 10030660 20061320 30593513 61187026 122374052 152967565 244748104 305935130 611870260 1223740520