[go: up one dir, main page]

Search a number
-
+
16148640 = 2535171979
BaseRepresentation
bin111101100110…
…100010100000
31010101102202210
4331212202200
513113224030
61334042120
7254155404
oct75464240
933342683
1016148640
11912a792
1254a9340
133465411
142205104
15163ebb0
hexf668a0

16148640 has 96 divisors (see below), whose sum is σ = 53887680. Its totient is φ = 4050944.

The previous prime is 16148633. The next prime is 16148647. The reversal of 16148640 is 4684161.

It is an interprime number because it is at equal distance from previous prime (16148633) and next prime (16148647).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16148598 and 16148607.

It is not an unprimeable number, because it can be changed into a prime (16148647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7171 + ... + 9149.

It is an arithmetic number, because the mean of its divisors is an integer number (561330).

Almost surely, 216148640 is an apocalyptic number.

16148640 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 16148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26943840).

16148640 is an abundant number, since it is smaller than the sum of its proper divisors (37739040).

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

16148640 is a wasteful number, since it uses less digits than its factorization.

16148640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 16148640 is about 4018.5370472350. The cubic root of 16148640 is about 252.7621171136.

The spelling of 16148640 in words is "sixteen million, one hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 1979 2040 2720 3958 4080 5937 7916 8160 9895 11874 15832 19790 23748 29685 31664 33643 39580 47496 59370 63328 67286 79160 94992 100929 118740 134572 158320 168215 189984 201858 237480 269144 316640 336430 403716 474960 504645 538288 672860 807432 949920 1009290 1076576 1345720 1614864 2018580 2691440 3229728 4037160 5382880 8074320 16148640