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146030064 = 24343139509
BaseRepresentation
bin10001011010000…
…11110111110000
3101011210002120220
420231003313300
5244340430224
622253533040
73422143425
oct1055036760
9334702526
10146030064
1175480604
1240aa4180
132433bc2b
1415573d4c
15cc48279
hex8b43df0

146030064 has 80 divisors (see below), whose sum is σ = 389558400. Its totient is φ = 47109888.

The previous prime is 146030063. The next prime is 146030111. The reversal of 146030064 is 460030641.

146030064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146030063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286642 + ... + 287150.

It is an arithmetic number, because the mean of its divisors is an integer number (4869480).

Almost surely, 2146030064 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 146030064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194779200).

146030064 is an abundant number, since it is smaller than the sum of its proper divisors (243528336).

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

146030064 is a wasteful number, since it uses less digits than its factorization.

146030064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 146030064 is about 12084.2899667295. The cubic root of 146030064 is about 526.5998832872.

The spelling of 146030064 in words is "one hundred forty-six million, thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 139 172 258 278 344 417 509 516 556 688 834 1018 1032 1112 1527 1668 2036 2064 2224 3054 3336 4072 5977 6108 6672 8144 11954 12216 17931 21887 23908 24432 35862 43774 47816 65661 70751 71724 87548 95632 131322 141502 143448 175096 212253 262644 283004 286896 350192 424506 525288 566008 849012 1050576 1132016 1698024 3042293 3396048 6084586 9126879 12169172 18253758 24338344 36507516 48676688 73015032 146030064