[go: up one dir, main page]

Search a number
-
+
13752928 = 2574179
BaseRepresentation
bin110100011101…
…101001100000
3221212201110201
4310131221200
512010043203
61210434544
7224620000
oct64355140
927781421
1013752928
117843862
124732a54
132b06b37
141b80000
151319e1d
hexd1da60

13752928 has 60 divisors (see below), whose sum is σ = 31763340. Its totient is φ = 5861184.

The previous prime is 13752911. The next prime is 13752943. The reversal of 13752928 is 82925731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76743 + ... + 76921.

It is an arithmetic number, because the mean of its divisors is an integer number (529389).

Almost surely, 213752928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13752928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881670).

13752928 is an abundant number, since it is smaller than the sum of its proper divisors (18010412).

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

13752928 is an frugal number, since it uses more digits than its factorization.

13752928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 188 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 13752928 is about 3708.4940339712. The cubic root of 13752928 is about 239.5879968309.

The spelling of 13752928 in words is "thirteen million, seven hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 179 196 224 343 358 392 686 716 784 1253 1372 1432 1568 2401 2506 2744 2864 4802 5012 5488 5728 8771 9604 10024 10976 17542 19208 20048 35084 38416 40096 61397 70168 76832 122794 140336 245588 280672 429779 491176 859558 982352 1719116 1964704 3438232 6876464 13752928