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13727490 = 2357131499
BaseRepresentation
bin110100010111…
…011100000010
3221211102120120
4310113130002
512003234430
61210121110
7224452560
oct64273402
927742516
1013727490
117826737
124720196
132ac839a
141b74a30
151312610
hexd17702

13727490 has 64 divisors (see below), whose sum is σ = 38016000. Its totient is φ = 3107520.

The previous prime is 13727473. The next prime is 13727491. The reversal of 13727490 is 9472731.

It is not an unprimeable number, because it can be changed into a prime (13727491) 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 31 ways as a sum of consecutive naturals, for example, 27261 + ... + 27759.

It is an arithmetic number, because the mean of its divisors is an integer number (594000).

Almost surely, 213727490 is an apocalyptic number.

13727490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13727490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008000).

13727490 is an abundant number, since it is smaller than the sum of its proper divisors (24288510).

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

13727490 is a wasteful number, since it uses less digits than its factorization.

13727490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 13727490 is about 3705.0627525050. The cubic root of 13727490 is about 239.4401882827.

The spelling of 13727490 in words is "thirteen million, seven hundred twenty-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 131 210 262 393 499 655 786 917 998 1310 1497 1834 1965 2495 2751 2994 3493 3930 4585 4990 5502 6986 7485 9170 10479 13755 14970 17465 20958 27510 34930 52395 65369 104790 130738 196107 326845 392214 457583 653690 915166 980535 1372749 1961070 2287915 2745498 4575830 6863745 13727490