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13438872 = 233531223
BaseRepresentation
bin110011010000…
…111110011000
3221021202200000
4303100332120
511420020442
61200013000
7222141246
oct63207630
927252600
1013438872
117649907
124601160
132a26bc5
141adb796
1512a6d4c
hexcd0f98

13438872 has 96 divisors (see below), whose sum is σ = 39137280. Its totient is φ = 4315680.

The previous prime is 13438853. The next prime is 13438889. The reversal of 13438872 is 27883431.

13438872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60153 + ... + 60375.

It is an arithmetic number, because the mean of its divisors is an integer number (407680).

Almost surely, 213438872 is an apocalyptic number.

13438872 is a gapful number since it is divisible by the number (12) 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 13438872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568640).

13438872 is an abundant number, since it is smaller than the sum of its proper divisors (25698408).

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

13438872 is a wasteful number, since it uses less digits than its factorization.

13438872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13438872 is about 3665.9067091240. The cubic root of 13438872 is about 237.7502263927.

The spelling of 13438872 in words is "thirteen million, four hundred thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 223 243 248 279 324 372 446 486 558 648 669 744 837 892 972 1116 1338 1674 1784 1944 2007 2232 2511 2676 3348 4014 5022 5352 6021 6696 6913 7533 8028 10044 12042 13826 15066 16056 18063 20088 20739 24084 27652 30132 36126 41478 48168 54189 55304 60264 62217 72252 82956 108378 124434 144504 165912 186651 216756 248868 373302 433512 497736 559953 746604 1119906 1493208 1679859 2239812 3359718 4479624 6719436 13438872