Search a number
-
+
20154203120 = 2451714819267
BaseRepresentation
bin10010110001010010…
…001011101111110000
31221000120200121011102
4102301102023233300
5312233433444440
613131514303532
71312303620452
oct226122135760
957016617142
1020154203120
118602582117
123aa5727ba8
131b9261899c
14d929862d2
157ce57ab15
hex4b148bbf0

20154203120 has 40 divisors (see below), whose sum is σ = 49614909264. Its totient is φ = 7587464192.

The previous prime is 20154203107. The next prime is 20154203131. The reversal of 20154203120 is 2130245102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20154203092 and 20154203101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7408274 + ... + 7410993.

Almost surely, 220154203120 is an apocalyptic number.

20154203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20154203120 is an abundant number, since it is smaller than the sum of its proper divisors (29460706144).

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

20154203120 is a wasteful number, since it uses less digits than its factorization.

20154203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14819297 (or 14819291 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 20154203120 its reverse (2130245102), we get a palindrome (22284448222).

The spelling of 20154203120 in words is "twenty billion, one hundred fifty-four million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 14819267 29638534 59277068 74096335 118554136 148192670 237108272 251927539 296385340 503855078 592770680 1007710156 1185541360 1259637695 2015420312 2519275390 4030840624 5038550780 10077101560 20154203120