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13642650 = 2325276171
BaseRepresentation
bin110100000010…
…101110011010
3221200010012100
4310002232122
511443031100
61204224230
7223650330
oct64025632
927603170
1013642650
117778a1a
12469b076
132a98898
141b51b50
1512e7400
hexd02b9a

13642650 has 144 divisors (see below), whose sum is σ = 43175808. Its totient is φ = 3024000.

The previous prime is 13642649. The next prime is 13642667. The reversal of 13642650 is 5624631.

13642650 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 2 + 650 = 666.

It is a super-2 number, since 2×136426502 = 372243798045000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 192115 + ... + 192185.

It is an arithmetic number, because the mean of its divisors is an integer number (299832).

Almost surely, 213642650 is an apocalyptic number.

13642650 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 13642650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

13642650 is an abundant number, since it is smaller than the sum of its proper divisors (29533158).

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

13642650 is a wasteful number, since it uses less digits than its factorization.

13642650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13642650 is about 3693.5958089645. The cubic root of 13642650 is about 238.9458978979.

The spelling of 13642650 in words is "thirteen million, six hundred forty-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 61 63 70 71 75 90 105 122 126 142 150 175 183 210 213 225 305 315 350 355 366 426 427 450 497 525 549 610 630 639 710 854 915 994 1050 1065 1098 1278 1281 1491 1525 1575 1775 1830 2130 2135 2485 2562 2745 2982 3050 3150 3195 3550 3843 4270 4331 4473 4575 4970 5325 5490 6390 6405 7455 7686 8662 8946 9150 10650 10675 12425 12810 12993 13725 14910 15975 19215 21350 21655 22365 24850 25986 27450 30317 31950 32025 37275 38430 38979 43310 44730 60634 64050 64965 74550 77958 90951 96075 108275 111825 129930 151585 181902 192150 194895 216550 223650 272853 303170 324825 389790 454755 545706 649650 757925 909510 974475 1364265 1515850 1948950 2273775 2728530 4547550 6821325 13642650