Search a number
-
+
146037312 = 2632253537
BaseRepresentation
bin10001011010001…
…01101001000000
3101011210110112100
420231011221000
5244341143222
622254030400
73422203521
oct1055055100
9334713470
10146037312
1175485aa3
1240aa8400
1324342315
1415576848
15cc4a4ac
hex8b45a40

146037312 has 42 divisors (see below), whose sum is σ = 418591238. Its totient is φ = 48678912.

The previous prime is 146037299. The next prime is 146037317. The reversal of 146037312 is 213730641.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 55711296 = 9504^2 + 7464^2 .

It is not an unprimeable number, because it can be changed into a prime (146037317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126193 + ... + 127344.

Almost surely, 2146037312 is an apocalyptic number.

146037312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146037312 is an abundant number, since it is smaller than the sum of its proper divisors (272553926).

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

146037312 is a wasteful number, since it uses less digits than its factorization.

146037312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253555 (or 253542 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 146037312 is about 12084.5898565073. The cubic root of 146037312 is about 526.6085954951.

Adding to 146037312 its reverse (213730641), we get a palindrome (359767953).

The spelling of 146037312 in words is "one hundred forty-six million, thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 253537 507074 760611 1014148 1521222 2028296 2281833 3042444 4056592 4563666 6084888 8113184 9127332 12169776 16226368 18254664 24339552 36509328 48679104 73018656 146037312