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5460920320 = 21153117203
BaseRepresentation
bin1010001010111111…
…10000100000000000
3112002120200111101011
411011133300200000
542140443422240
62301514250304
7252220025332
oct50537604000
915076614334
105460920320
112352602299
121084a26994
136904acccb
1439b3a3452
1521e6506ea
hex1457f0800

5460920320 has 96 divisors (see below), whose sum is σ = 13526472960. Its totient is φ = 2113781760.

The previous prime is 5460920303. The next prime is 5460920323. The reversal of 5460920320 is 230290645.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (5460920323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308839 + ... + 326041.

It is an arithmetic number, because the mean of its divisors is an integer number (140900760).

Almost surely, 25460920320 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 5460920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763236480).

5460920320 is an abundant number, since it is smaller than the sum of its proper divisors (8065552640).

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

5460920320 is a wasteful number, since it uses less digits than its factorization.

5460920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17261 (or 17241 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 5460920320 is about 73898.0400281361. The cubic root of 5460920320 is about 1760.9834723806.

The spelling of 5460920320 in words is "five billion, four hundred sixty million, nine hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1024 1240 1280 1984 2048 2480 2560 3968 4960 5120 7936 9920 10240 15872 17203 19840 31744 34406 39680 63488 68812 79360 86015 137624 158720 172030 275248 317440 344060 533293 550496 688120 1066586 1100992 1376240 2133172 2201984 2666465 2752480 4266344 4403968 5332930 5504960 8532688 8807936 10665860 11009920 17065376 17615872 21331720 22019840 34130752 35231744 42663440 44039680 68261504 85326880 88079360 136523008 170653760 176158720 273046016 341307520 546092032 682615040 1092184064 1365230080 2730460160 5460920320