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13669740 = 22325719571
BaseRepresentation
bin110100001001…
…010101101100
3221201111100200
4310021111230
511444412430
61204553500
7224122320
oct64112554
927644320
1013669740
117797307
1246b2890
132aa8006
141b5b980
151300460
hexd0956c

13669740 has 144 divisors (see below), whose sum is σ = 49969920. Its totient is φ = 2954880.

The previous prime is 13669739. The next prime is 13669741. The reversal of 13669740 is 4796631.

It is an interprime number because it is at equal distance from previous prime (13669739) and next prime (13669741).

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

It is a junction number, because it is equal to n+sod(n) for n = 13669695 and 13669704.

It is not an unprimeable number, because it can be changed into a prime (13669741) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23655 + ... + 24225.

Almost surely, 213669740 is an apocalyptic number.

13669740 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 13669740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24984960).

13669740 is an abundant number, since it is smaller than the sum of its proper divisors (36300180).

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

13669740 is a wasteful number, since it uses less digits than its factorization.

13669740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 13669740 is about 3697.2611484719. The cubic root of 13669740 is about 239.1039503930.

The spelling of 13669740 in words is "thirteen million, six hundred sixty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 571 630 665 684 798 855 1140 1142 1197 1260 1330 1596 1710 1713 1995 2284 2394 2660 2855 3420 3426 3990 3997 4788 5139 5710 5985 6852 7980 7994 8565 10278 10849 11420 11970 11991 15988 17130 19985 20556 21698 23940 23982 25695 32547 34260 35973 39970 43396 47964 51390 54245 59955 65094 71946 75943 79940 97641 102780 108490 119910 130188 143892 151886 162735 179865 195282 216980 227829 239820 303772 325470 359730 379715 390564 455658 488205 650940 683487 719460 759430 911316 976410 1139145 1366974 1518860 1952820 2278290 2733948 3417435 4556580 6834870 13669740