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2151453520 = 245101266269
BaseRepresentation
bin1000000000111100…
…1001001101010000
312112221100011101201
42000033021031100
513401233003040
6553253040544
7104213024146
oct20017111520
95487304351
102151453520
11a04491967
12500626154
13283964a28
14165a41596
15c8d2ca9a
hex803c9350

2151453520 has 40 divisors (see below), whose sum is σ = 5051674440. Its totient is φ = 852057600.

The previous prime is 2151453517. The next prime is 2151453559. The reversal of 2151453520 is 253541512.

It can be written as a sum of positive squares in 4 ways, for example, as 650046016 + 1501407504 = 25496^2 + 38748^2 .

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 125055 + ... + 141214.

It is an arithmetic number, because the mean of its divisors is an integer number (126291861).

Almost surely, 22151453520 is an apocalyptic number.

2151453520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2151453520 is an abundant number, since it is smaller than the sum of its proper divisors (2900220920).

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

2151453520 is a wasteful number, since it uses less digits than its factorization.

2151453520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266383 (or 266377 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 2151453520 is about 46383.7635385487. The cubic root of 2151453520 is about 1290.9536685357.

The spelling of 2151453520 in words is "two billion, one hundred fifty-one million, four hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 266269 532538 1065076 1331345 2130152 2662690 4260304 5325380 10650760 21301520 26893169 53786338 107572676 134465845 215145352 268931690 430290704 537863380 1075726760 2151453520