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16138752 = 29371979
BaseRepresentation
bin111101100100…
…001000000000
31010100221012120
4331210020000
513112420002
61333524240
7254114520
oct75441000
933327176
1016138752
119123313
1254a3680
133460a76
142201680
15163bcbc
hexf64200

16138752 has 160 divisors (see below), whose sum is σ = 52377600. Its totient is φ = 4313088.

The previous prime is 16138751. The next prime is 16138753. The reversal of 16138752 is 25783161.

It is an interprime number because it is at equal distance from previous prime (16138751) and next prime (16138753).

It is a super-2 number, since 2×161387522 = 520918632235008, which contains 22 as substring.

Its product of digits (10080) is a multiple of the sum of its prime factors (126).

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16138751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204249 + ... + 204327.

It is an arithmetic number, because the mean of its divisors is an integer number (327360).

Almost surely, 216138752 is an apocalyptic number.

16138752 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 16138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26188800).

16138752 is an abundant number, since it is smaller than the sum of its proper divisors (36238848).

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

16138752 is an equidigital number, since it uses as much as digits as its factorization.

16138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 16138752 is about 4017.3065603710. The cubic root of 16138752 is about 252.7105168528.

The spelling of 16138752 in words is "sixteen million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 79 84 96 112 114 128 133 152 158 168 192 224 228 237 256 266 304 316 336 384 399 448 456 474 512 532 553 608 632 672 768 798 896 912 948 1064 1106 1216 1264 1344 1501 1536 1596 1659 1792 1824 1896 2128 2212 2432 2528 2688 3002 3192 3318 3584 3648 3792 4256 4424 4503 4864 5056 5376 6004 6384 6636 7296 7584 8512 8848 9006 9728 10112 10507 10752 12008 12768 13272 14592 15168 17024 17696 18012 20224 21014 24016 25536 26544 29184 30336 31521 34048 35392 36024 40448 42028 48032 51072 53088 60672 63042 68096 70784 72048 84056 96064 102144 106176 121344 126084 141568 144096 168112 192128 204288 212352 252168 283136 288192 336224 384256 424704 504336 576384 672448 768512 849408 1008672 1152768 1344896 2017344 2305536 2689792 4034688 5379584 8069376 16138752