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146012464 = 24132321327
BaseRepresentation
bin10001011001111…
…11100100110000
3101011202012110001
420230333210300
5244334344324
622253315344
73422041213
oct1054774460
9334665401
10146012464
1175469364
1240a95b54
1324333c10
141556b77a
15cc42e44
hex8b3f930

146012464 has 60 divisors (see below), whose sum is σ = 318722656. Its totient is φ = 64411776.

The previous prime is 146012453. The next prime is 146012527. The reversal of 146012464 is 464210641.

146012464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109369 + ... + 110695.

Almost surely, 2146012464 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 146012464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159361328).

146012464 is an abundant number, since it is smaller than the sum of its proper divisors (172710192).

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

146012464 is a wasteful number, since it uses less digits than its factorization.

146012464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 146012464 is about 12083.5617265771. The cubic root of 146012464 is about 526.5787266156.

It can be divided in two parts, 1460 and 12464, that added together give a square (13924 = 1182).

The spelling of 146012464 in words is "one hundred forty-six million, twelve thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 529 598 1058 1196 1327 2116 2392 2654 4232 4784 5308 6877 8464 10616 13754 17251 21232 27508 30521 34502 55016 61042 69004 110032 122084 138008 244168 276016 396773 488336 701983 793546 1403966 1587092 2807932 3174184 5615864 6348368 9125779 11231728 18251558 36503116 73006232 146012464