Search a number
-
+
16542084 = 22313195581
BaseRepresentation
bin111111000110…
…100110000100
31011010102110210
4333012212010
513213321314
61350315420
7260414436
oct77064604
934112423
1016542084
119379349
125658b70
133572520
1422a8656
1516bb559
hexfc6984

16542084 has 48 divisors (see below), whose sum is σ = 43762880. Its totient is φ = 4821120.

The previous prime is 16542079. The next prime is 16542101. The reversal of 16542084 is 48024561.

16542084 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 unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174 + ... + 5754.

Almost surely, 216542084 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 16542084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21881440).

16542084 is an abundant number, since it is smaller than the sum of its proper divisors (27220796).

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

16542084 is a wasteful number, since it uses less digits than its factorization.

16542084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 16542084 is about 4067.1960857574. The cubic root of 16542084 is about 254.7984258598.

The spelling of 16542084 in words is "sixteen million, five hundred forty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 5581 11162 16743 22324 33486 66972 72553 106039 145106 212078 217659 290212 318117 424156 435318 636234 870636 1272468 1378507 2757014 4135521 5514028 8271042 16542084