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15820428 = 22313229269
BaseRepresentation
bin111100010110…
…011010001100
31002202202112210
4330112122030
513022223203
61323030420
7251320461
oct74263214
932682483
1015820428
118a26138
12536b410
13337bc00
14215b668
1515c7803
hexf1668c

15820428 has 72 divisors (see below), whose sum is σ = 41504400. Its totient is φ = 4682496.

The previous prime is 15820417. The next prime is 15820439. The reversal of 15820428 is 82402851.

15820428 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15820417) and next prime (15820439).

It is a junction number, because it is equal to n+sod(n) for n = 15820395 and 15820404.

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, 58678 + ... + 58946.

It is an arithmetic number, because the mean of its divisors is an integer number (576450).

Almost surely, 215820428 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 15820428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20752200).

15820428 is an abundant number, since it is smaller than the sum of its proper divisors (25683972).

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

15820428 is a wasteful number, since it uses less digits than its factorization.

15820428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 15820428 is about 3977.4901634071. The cubic root of 15820428 is about 251.0379671989.

The spelling of 15820428 in words is "fifteen million, eight hundred twenty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 169 174 269 338 348 377 507 538 676 754 807 1014 1076 1131 1508 1614 2028 2262 3228 3497 4524 4901 6994 7801 9802 10491 13988 14703 15602 19604 20982 23403 29406 31204 41964 45461 46806 58812 90922 93612 101413 136383 181844 202826 272766 304239 405652 545532 608478 1216956 1318369 2636738 3955107 5273476 7910214 15820428