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2151455540 = 2251310181929
BaseRepresentation
bin1000000000111100…
…1001101100110100
312112221100021011112
42000033021230310
513401233034130
6553253054152
7104213033063
oct20017115464
95487307145
102151455540
11a04493433
12500627358
13283965920
14165a421da
15c8d2d495
hex803c9b34

2151455540 has 48 divisors (see below), whose sum is σ = 4913833680. Its totient is φ = 786508800.

The previous prime is 2151455491. The next prime is 2151455549. The reversal of 2151455540 is 455541512.

It can be written as a sum of positive squares in 8 ways, for example, as 32878756 + 2118576784 = 5734^2 + 46028^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2151455497 and 2151455506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151455549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14705 + ... + 67224.

It is an arithmetic number, because the mean of its divisors is an integer number (102371535).

Almost surely, 22151455540 is an apocalyptic number.

2151455540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2151455540 is an abundant number, since it is smaller than the sum of its proper divisors (2762378140).

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

2151455540 is a wasteful number, since it uses less digits than its factorization.

2151455540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82052 (or 82050 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The square root of 2151455540 is about 46383.7853134045. The cubic root of 2151455540 is about 1290.9540725611.

The spelling of 2151455540 in words is "two billion, one hundred fifty-one million, four hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 81929 163858 327716 409645 819290 1065077 1638580 2130154 4260308 5325385 8274829 10650770 16549658 21301540 33099316 41374145 82748290 107572777 165496580 215145554 430291108 537863885 1075727770 2151455540