Search a number
-
+
20015616 = 29383157
BaseRepresentation
bin100110001011…
…0101000000000
31101122220021010
41030112220000
520110444431
61553000520
7332062365
oct114265000
941586233
1020015616
1110331035
126853140
1341ba57a
14293046c
151b55846
hex1316a00

20015616 has 80 divisors (see below), whose sum is σ = 54309024. Its totient is φ = 6549504.

The previous prime is 20015591. The next prime is 20015623. The reversal of 20015616 is 61651002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20015592 and 20015601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127410 + ... + 127566.

Almost surely, 220015616 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 20015616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27154512).

20015616 is an abundant number, since it is smaller than the sum of its proper divisors (34293408).

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

20015616 is an equidigital number, since it uses as much as digits as its factorization.

20015616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 20015616 is about 4473.8815362054. The cubic root of 20015616 is about 271.5123905228.

Adding to 20015616 its reverse (61651002), we get a palindrome (81666618).

The spelling of 20015616 in words is "twenty million, fifteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 157 166 192 249 256 314 332 384 471 498 512 628 664 768 942 996 1256 1328 1536 1884 1992 2512 2656 3768 3984 5024 5312 7536 7968 10048 10624 13031 15072 15936 20096 21248 26062 30144 31872 39093 40192 42496 52124 60288 63744 78186 80384 104248 120576 127488 156372 208496 241152 312744 416992 625488 833984 1250976 1667968 2501952 3335936 5003904 6671872 10007808 20015616