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145360064 = 2617229271
BaseRepresentation
bin10001010101000…
…00010011000000
3101010112001112002
420222200103000
5244203010224
622231323132
73413353163
oct1052402300
9333461462
10145360064
1175063193
12408204a8
1324165c95
141543bada
15cb649ae
hex8aa04c0

145360064 has 84 divisors (see below), whose sum is σ = 318150240. Its totient is φ = 65802240.

The previous prime is 145360063. The next prime is 145360067. The reversal of 145360064 is 460063541.

It is a happy number.

It is a super-2 number, since 2×1453600642 = 42259096412168192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (145360063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536249 + ... + 536519.

Almost surely, 2145360064 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 145360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159075120).

145360064 is an abundant number, since it is smaller than the sum of its proper divisors (172790176).

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

145360064 is a wasteful number, since it uses less digits than its factorization.

145360064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 145360064 is about 12056.5361526435. The cubic root of 145360064 is about 525.7932847796.

The spelling of 145360064 in words is "one hundred forty-five million, three hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 271 272 289 464 493 542 544 578 928 986 1084 1088 1156 1856 1972 2168 2312 3944 4336 4607 4624 7859 7888 8381 8672 9214 9248 15718 15776 16762 17344 18428 18496 31436 31552 33524 36856 62872 67048 73712 78319 125744 133603 134096 147424 156638 251488 267206 268192 294848 313276 502976 534412 536384 626552 1068824 1253104 2137648 2271251 2506208 4275296 4542502 5012416 8550592 9085004 18170008 36340016 72680032 145360064