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146134032 = 24311594691
BaseRepresentation
bin10001011010111…
…01010000010000
3101011222101012120
420231131100100
5244402242112
622300054240
73423055512
oct1055352020
9334871176
10146134032
1175541730
1240b34380
1324377355
141559dbb2
15cc68e8c
hex8b5d410

146134032 has 80 divisors (see below), whose sum is σ = 418901760. Its totient is φ = 43523200.

The previous prime is 146134013. The next prime is 146134049. The reversal of 146134032 is 230431641.

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

It is a junction number, because it is equal to n+sod(n) for n = 146133993 and 146134011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28807 + ... + 33497.

It is an arithmetic number, because the mean of its divisors is an integer number (5236272).

Almost surely, 2146134032 is an apocalyptic number.

146134032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209450880).

146134032 is an abundant number, since it is smaller than the sum of its proper divisors (272767728).

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

146134032 is a wasteful number, since it uses less digits than its factorization.

146134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4766 counting only the distinct ones).

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

The square root of 146134032 is about 12088.5909848915. The cubic root of 146134032 is about 526.7248268481.

Adding to 146134032 its reverse (230431641), we get a palindrome (376565673).

The spelling of 146134032 in words is "one hundred forty-six million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 354 472 528 649 708 944 1298 1416 1947 2596 2832 3894 4691 5192 7788 9382 10384 14073 15576 18764 28146 31152 37528 51601 56292 75056 103202 112584 154803 206404 225168 276769 309606 412808 553538 619212 825616 830307 1107076 1238424 1660614 2214152 2476848 3044459 3321228 4428304 6088918 6642456 9133377 12177836 13284912 18266754 24355672 36533508 48711344 73067016 146134032