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5145220320 = 253514971941
BaseRepresentation
bin1001100101010110…
…11101010011100000
3111021120122021101120
410302223131103200
541014134022240
62210315532240
7241334436222
oct46253352340
914246567346
105145220320
1122003851a9
12bb715a080
1363cc76086
1436b4a4412
15201a8ead0
hex132add4e0

5145220320 has 96 divisors (see below), whose sum is σ = 16316445600. Its totient is φ = 1362831360.

The previous prime is 5145220303. The next prime is 5145220411. The reversal of 5145220320 is 230225415.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35550 + ... + 107490.

It is an arithmetic number, because the mean of its divisors is an integer number (169962975).

Almost surely, 25145220320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158222800).

5145220320 is an abundant number, since it is smaller than the sum of its proper divisors (11171225280).

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

5145220320 is a wasteful number, since it uses less digits than its factorization.

5145220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72108 (or 72100 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5145220320 is about 71730.1911331623. The cubic root of 5145220320 is about 1726.3730936680.

Adding to 5145220320 its reverse (230225415), we get a palindrome (5375445735).

The spelling of 5145220320 in words is "five billion, one hundred forty-five million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 149 160 240 298 447 480 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 4768 5960 7152 8940 11920 14304 17880 23840 35760 71520 71941 143882 215823 287764 359705 431646 575528 719410 863292 1079115 1151056 1438820 1726584 2158230 2302112 2877640 3453168 4316460 5755280 6906336 8632920 10719209 11510560 17265840 21438418 32157627 34531680 42876836 53596045 64315254 85753672 107192090 128630508 160788135 171507344 214384180 257261016 321576270 343014688 428768360 514522032 643152540 857536720 1029044064 1286305080 1715073440 2572610160 5145220320