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13073400 = 233552269
BaseRepresentation
bin110001110111…
…101111111000
3220121012100000
4301313233320
511321322100
61144113000
7216056604
oct61675770
926535300
1013073400
11741a26a
124465760
132929752
141a44504
151233900
hexc77bf8

13073400 has 144 divisors (see below), whose sum is σ = 45700200. Its totient is φ = 3473280.

The previous prime is 13073393. The next prime is 13073441. The reversal of 13073400 is 437031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48466 + ... + 48734.

Almost surely, 213073400 is an apocalyptic number.

13073400 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 13073400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850100).

13073400 is an abundant number, since it is smaller than the sum of its proper divisors (32626800).

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

13073400 is a wasteful number, since it uses less digits than its factorization.

13073400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13073400 is about 3615.7156967881. The cubic root of 13073400 is about 235.5751717509.

The spelling of 13073400 in words is "thirteen million, seventy-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 269 270 300 324 360 405 450 486 538 540 600 648 675 807 810 900 972 1076 1080 1215 1345 1350 1614 1620 1800 1944 2025 2152 2421 2430 2690 2700 3228 3240 4035 4050 4842 4860 5380 5400 6075 6456 6725 7263 8070 8100 9684 9720 10760 12105 12150 13450 14526 16140 16200 19368 20175 21789 24210 24300 26900 29052 32280 36315 40350 43578 48420 48600 53800 58104 60525 65367 72630 80700 87156 96840 108945 121050 130734 145260 161400 174312 181575 217890 242100 261468 290520 326835 363150 435780 484200 522936 544725 653670 726300 871560 1089450 1307340 1452600 1634175 2178900 2614680 3268350 4357800 6536700 13073400