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13444620 = 22357217269
BaseRepresentation
bin110011010010…
…011000001100
3221022001112220
4303102120030
511420211440
61200055340
7222164100
oct63223014
927261486
1013444620
117653162
124604550
132a296c7
141add900
1512a88d0
hexcd260c

13444620 has 144 divisors (see below), whose sum is σ = 46539360. Its totient is φ = 2881536.

The previous prime is 13444619. The next prime is 13444621. The reversal of 13444620 is 2644431.

It is an interprime number because it is at equal distance from previous prime (13444619) and next prime (13444621).

It is not an unprimeable number, because it can be changed into a prime (13444621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49846 + ... + 50114.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 213444620 is an apocalyptic number.

13444620 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 13444620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23269680).

13444620 is an abundant number, since it is smaller than the sum of its proper divisors (33094740).

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

13444620 is a wasteful number, since it uses less digits than its factorization.

13444620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 13444620 is about 3666.6906059825. The cubic root of 13444620 is about 237.7841179651.

The spelling of 13444620 in words is "thirteen million, four hundred forty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 269 294 340 357 420 476 490 510 538 588 595 714 735 807 833 980 1020 1076 1190 1345 1428 1470 1614 1666 1785 1883 2380 2499 2690 2940 3228 3332 3570 3766 4035 4165 4573 4998 5380 5649 7140 7532 8070 8330 9146 9415 9996 11298 12495 13181 13719 16140 16660 18292 18830 22596 22865 24990 26362 27438 28245 32011 37660 39543 45730 49980 52724 54876 56490 64022 65905 68595 79086 91460 96033 112980 128044 131810 137190 158172 160055 192066 197715 224077 263620 274380 320110 384132 395430 448154 480165 640220 672231 790860 896308 960330 1120385 1344462 1920660 2240770 2688924 3361155 4481540 6722310 13444620