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16058040 = 2335197043
BaseRepresentation
bin111101010000…
…011010111000
31010012211111020
4331100122320
513102324130
61332102440
7253330305
oct75203270
933184436
1016058040
119078709
125464a20
1334330cb
1421c00ac
151622e10
hexf506b8

16058040 has 64 divisors (see below), whose sum is σ = 50716800. Its totient is φ = 4056192.

The previous prime is 16058017. The next prime is 16058069. The reversal of 16058040 is 4085061.

16058040 is nontrivially palindromic in base 11.

16058040 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 a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16058040.

It is a congruent number.

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, 1242 + ... + 5801.

It is an arithmetic number, because the mean of its divisors is an integer number (792450).

Almost surely, 216058040 is an apocalyptic number.

16058040 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 16058040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25358400).

16058040 is an abundant number, since it is smaller than the sum of its proper divisors (34658760).

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

16058040 is a wasteful number, since it uses less digits than its factorization.

16058040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 16058040 is about 4007.2484325282. The cubic root of 16058040 is about 252.2885332048.

The spelling of 16058040 in words is "sixteen million, fifty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 7043 14086 21129 28172 35215 42258 56344 70430 84516 105645 133817 140860 169032 211290 267634 281720 401451 422580 535268 669085 802902 845160 1070536 1338170 1605804 2007255 2676340 3211608 4014510 5352680 8029020 16058040