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146711064 = 233471131151
BaseRepresentation
bin10001011111010…
…10001000011000
3101020001200202010
420233222020120
5300024223224
622320305520
73431011023
oct1057521030
9336050663
10146711064
11758a6215
12411722a0
1324519ba6
14156b01ba
15cd2ee29
hex8bea218

146711064 has 64 divisors (see below), whose sum is σ = 378224640. Its totient is φ = 47398400.

The previous prime is 146711053. The next prime is 146711083. The reversal of 146711064 is 460117641.

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, 126889 + ... + 128039.

It is an arithmetic number, because the mean of its divisors is an integer number (5909760).

Almost surely, 2146711064 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 146711064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189112320).

146711064 is an abundant number, since it is smaller than the sum of its proper divisors (231513576).

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

146711064 is a wasteful number, since it uses less digits than its factorization.

146711064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 146711064 is about 12112.4342722675. The cubic root of 146711064 is about 527.4172001542.

The spelling of 146711064 in words is "one hundred forty-six million, seven hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 113 141 188 226 282 339 376 452 564 678 904 1128 1151 1356 2302 2712 3453 4604 5311 6906 9208 10622 13812 15933 21244 27624 31866 42488 54097 63732 108194 127464 130063 162291 216388 260126 324582 390189 432776 520252 649164 780378 1040504 1298328 1560756 3121512 6112961 12225922 18338883 24451844 36677766 48903688 73355532 146711064