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16261120 = 2135397
BaseRepresentation
bin111110000010…
…000000000000
31010121011001201
4332002000000
513130323440
61340310544
7255134341
oct76020000
933534051
1016261120
1191a7247
125542454
1334a4685
1422340c8
15166319a
hexf82000

16261120 has 56 divisors (see below), whose sum is σ = 39122604. Its totient is φ = 6488064.

The previous prime is 16261109. The next prime is 16261121. The reversal of 16261120 is 2116261.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 4096 = 4032^2 + 64^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16261121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40762 + ... + 41158.

Almost surely, 216261120 is an apocalyptic number.

16261120 is a gapful number since it is divisible by the number (10) 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 16261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561302).

16261120 is an abundant number, since it is smaller than the sum of its proper divisors (22861484).

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

16261120 is an frugal number, since it uses more digits than its factorization.

16261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 16261120 is about 4032.5079045180. The cubic root of 16261120 is about 253.3476138456.

Adding to 16261120 its reverse (2116261), we get a palindrome (18377381).

The spelling of 16261120 in words is "sixteen million, two hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 397 512 640 794 1024 1280 1588 1985 2048 2560 3176 3970 4096 5120 6352 7940 8192 10240 12704 15880 20480 25408 31760 40960 50816 63520 101632 127040 203264 254080 406528 508160 813056 1016320 1626112 2032640 3252224 4065280 8130560 16261120