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2151452320 = 25537536857
BaseRepresentation
bin1000000000111100…
…1000111010100000
312112221100002202021
42000033020322200
513401232433240
6553253031224
7104213020513
oct20017107240
95487302667
102151452320
11a04490a76
12500625514
13283964314
14165a40d7a
15c8d2c54a
hex803c8ea0

2151452320 has 96 divisors (see below), whose sum is σ = 5319448848. Its totient is φ = 821403648.

The previous prime is 2151452293. The next prime is 2151452321. The reversal of 2151452320 is 232541512.

It can be written as a sum of positive squares in 8 ways, for example, as 906491664 + 1244960656 = 30108^2 + 35284^2 .

It is not an unprimeable number, because it can be changed into a prime (2151452321) 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, 310332 + ... + 317188.

Almost surely, 22151452320 is an apocalyptic number.

2151452320 is a gapful number since it is divisible by the number (20) 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 2151452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659724424).

2151452320 is an abundant number, since it is smaller than the sum of its proper divisors (3167996528).

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

2151452320 is a wasteful number, since it uses less digits than its factorization.

2151452320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2151452320 is about 46383.7506029860. The cubic root of 2151452320 is about 1290.9534285205.

Adding to 2151452320 its reverse (232541512), we get a palindrome (2383993832).

The spelling of 2151452320 in words is "two billion, one hundred fifty-one million, four hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 53 74 80 106 148 160 185 212 265 296 370 424 530 592 740 848 1060 1184 1480 1696 1961 2120 2960 3922 4240 5920 6857 7844 8480 9805 13714 15688 19610 27428 31376 34285 39220 54856 62752 68570 78440 109712 137140 156880 219424 253709 274280 313760 363421 507418 548560 726842 1014836 1097120 1268545 1453684 1817105 2029672 2537090 2907368 3634210 4059344 5074180 5814736 7268420 8118688 10148360 11629472 13446577 14536840 20296720 26893154 29073680 40593440 53786308 58147360 67232885 107572616 134465770 215145232 268931540 430290464 537863080 1075726160 2151452320