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1339266420 = 223358329881
BaseRepresentation
bin100111111010011…
…1001010101110100
310110100001210011000
41033310321111310
510220323011140
6340521043300
745121401552
oct11764712564
93410053130
101339266420
11627a87758
12314626530
1318460594b
14c9c22bd2
157c899a30
hex4fd39574

1339266420 has 96 divisors (see below), whose sum is σ = 4216947840. Its totient is φ = 352823040.

The previous prime is 1339266413. The next prime is 1339266421. The reversal of 1339266420 is 246629331.

1339266420 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 2 + 6 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339266421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29880 + ... + 59760.

It is an arithmetic number, because the mean of its divisors is an integer number (43926540).

Almost surely, 21339266420 is an apocalyptic number.

1339266420 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 1339266420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108473920).

1339266420 is an abundant number, since it is smaller than the sum of its proper divisors (2877681420).

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

1339266420 is a wasteful number, since it uses less digits than its factorization.

1339266420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29982 (or 29974 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1339266420 is about 36595.9891244929. The cubic root of 1339266420 is about 1102.2725524603.

The spelling of 1339266420 in words is "one billion, three hundred thirty-nine million, two hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 7470 8964 11205 14940 22410 29881 44820 59762 89643 119524 149405 179286 268929 298810 358572 448215 537858 597620 806787 896430 1075716 1344645 1613574 1792860 2480123 2689290 3227148 4033935 4960246 5378580 7440369 8067870 9920492 12400615 14880738 16135740 22321107 24801230 29761476 37201845 44642214 49602460 66963321 74403690 89284428 111605535 133926642 148807380 223211070 267853284 334816605 446422140 669633210 1339266420