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146093568 = 293227419
BaseRepresentation
bin10001011010100…
…11011000000000
3101011220022200220
420231103120000
5244344443233
622255143040
73422526525
oct1055233000
9334808626
10146093568
1175514295
1240b14a80
1324361aca
141558d14c
15cc5beb3
hex8b53600

146093568 has 80 divisors (see below), whose sum is σ = 391849920. Its totient is φ = 48367616.

The previous prime is 146093551. The next prime is 146093579. The reversal of 146093568 is 865390641.

It is a super-2 number, since 2×1460935682 = 42686661221941248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348463 + ... + 348881.

It is an arithmetic number, because the mean of its divisors is an integer number (4898124).

Almost surely, 2146093568 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 146093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

146093568 is an abundant number, since it is smaller than the sum of its proper divisors (245756352).

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

146093568 is an equidigital number, since it uses as much as digits as its factorization.

146093568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 146093568 is about 12086.9172248345. The cubic root of 146093568 is about 526.6762062756.

The spelling of 146093568 in words is "one hundred forty-six million, ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 419 454 512 681 768 838 908 1257 1362 1536 1676 1816 2514 2724 3352 3632 5028 5448 6704 7264 10056 10896 13408 14528 20112 21792 26816 29056 40224 43584 53632 58112 80448 87168 95113 107264 116224 160896 174336 190226 214528 285339 321792 348672 380452 570678 643584 760904 1141356 1521808 2282712 3043616 4565424 6087232 9130848 12174464 18261696 24348928 36523392 48697856 73046784 146093568