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13551040 = 265174753
BaseRepresentation
bin110011101100…
…010111000000
3221111110112101
4303230113000
511432113130
61202240144
7223116256
oct63542700
927443471
1013551040
117716108
124656054
132a65c89
141b2a5d6
1512ca1ca
hexcec5c0

13551040 has 112 divisors (see below), whose sum is σ = 35551872. Its totient is φ = 4898816.

The previous prime is 13551037. The next prime is 13551049. The reversal of 13551040 is 4015531.

It is a junction number, because it is equal to n+sod(n) for n = 13550999 and 13551017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13551049) 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 15 ways as a sum of consecutive naturals, for example, 255654 + ... + 255706.

Almost surely, 213551040 is an apocalyptic number.

13551040 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 13551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17775936).

13551040 is an abundant number, since it is smaller than the sum of its proper divisors (22000832).

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

13551040 is a wasteful number, since it uses less digits than its factorization.

13551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 13551040 is about 3681.1737258652. The cubic root of 13551040 is about 238.4098580071.

Adding to 13551040 its reverse (4015531), we get a palindrome (17566571).

The spelling of 13551040 in words is "thirteen million, five hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 47 53 64 68 80 85 94 106 136 160 170 188 212 235 265 272 320 340 376 424 470 530 544 680 752 799 848 901 940 1060 1088 1360 1504 1598 1696 1802 1880 2120 2491 2720 3008 3196 3392 3604 3760 3995 4240 4505 4982 5440 6392 7208 7520 7990 8480 9010 9964 12455 12784 14416 15040 15980 16960 18020 19928 24910 25568 28832 31960 36040 39856 42347 49820 51136 57664 63920 72080 79712 84694 99640 127840 144160 159424 169388 199280 211735 255680 288320 338776 398560 423470 677552 797120 846940 1355104 1693880 2710208 3387760 6775520 13551040