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13072950 = 232521119139
BaseRepresentation
bin110001110111…
…101000110110
3220121011201100
4301313220312
511321313300
61144110530
7216055362
oct61675066
926534640
1013072950
1174199a0
124465446
132929497
141a442a2
151233700
hexc77a36

13072950 has 144 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 2980800.

The previous prime is 13072937. The next prime is 13072957. The reversal of 13072950 is 5927031.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13072957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93981 + ... + 94119.

It is an arithmetic number, because the mean of its divisors is an integer number (282100).

Almost surely, 213072950 is an apocalyptic number.

13072950 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 13072950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

13072950 is an abundant number, since it is smaller than the sum of its proper divisors (27549450).

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

13072950 is a wasteful number, since it uses less digits than its factorization.

13072950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 13072950 is about 3615.6534679087. The cubic root of 13072950 is about 235.5724688059.

Adding to 13072950 its reverse (5927031), we get a palindrome (18999981).

The spelling of 13072950 in words is "thirteen million, seventy-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 25 30 33 38 45 50 55 57 66 75 90 95 99 110 114 139 150 165 171 190 198 209 225 275 278 285 330 342 417 418 450 475 495 550 570 627 695 825 834 855 950 990 1045 1251 1254 1390 1425 1529 1650 1710 1881 2085 2090 2475 2502 2641 2850 3058 3135 3475 3762 4170 4275 4587 4950 5225 5282 6255 6270 6950 7645 7923 8550 9174 9405 10425 10450 12510 13205 13761 15290 15675 15846 18810 20850 22935 23769 26410 27522 29051 31275 31350 38225 39615 45870 47025 47538 58102 62550 66025 68805 76450 79230 87153 94050 114675 118845 132050 137610 145255 174306 198075 229350 237690 261459 290510 344025 396150 435765 522918 594225 688050 726275 871530 1188450 1307295 1452550 2178825 2614590 4357650 6536475 13072950