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13073520 = 2435194761
BaseRepresentation
bin110001110111…
…110001110000
3220121012111110
4301313301300
511321323040
61144113320
7216060135
oct61676160
926535443
1013073520
11741a369
124465840
132929815
141a4458c
151233980
hexc77c70

13073520 has 160 divisors (see below), whose sum is σ = 44282880. Its totient is φ = 3179520.

The previous prime is 13073513. The next prime is 13073549. The reversal of 13073520 is 2537031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214290 + ... + 214350.

It is an arithmetic number, because the mean of its divisors is an integer number (276768).

Almost surely, 213073520 is an apocalyptic number.

13073520 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 13073520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141440).

13073520 is an abundant number, since it is smaller than the sum of its proper divisors (31209360).

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

13073520 is a wasteful number, since it uses less digits than its factorization.

13073520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 13073520 is about 3615.7322909751. The cubic root of 13073520 is about 235.5758925257.

The spelling of 13073520 in words is "thirteen million, seventy-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 47 48 57 60 61 76 80 94 95 114 120 122 141 152 183 188 190 228 235 240 244 282 285 304 305 366 376 380 456 470 488 564 570 610 705 732 752 760 893 912 915 940 976 1128 1140 1159 1220 1410 1464 1520 1786 1830 1880 2256 2280 2318 2440 2679 2820 2867 2928 3477 3572 3660 3760 4465 4560 4636 4880 5358 5640 5734 5795 6954 7144 7320 8601 8930 9272 10716 11280 11468 11590 13395 13908 14288 14335 14640 17202 17385 17860 18544 21432 22936 23180 26790 27816 28670 34404 34770 35720 42864 43005 45872 46360 53580 54473 55632 57340 68808 69540 71440 86010 92720 107160 108946 114680 137616 139080 163419 172020 214320 217892 229360 272365 278160 326838 344040 435784 544730 653676 688080 817095 871568 1089460 1307352 1634190 2178920 2614704 3268380 4357840 6536760 13073520