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146016240 = 2435608401
BaseRepresentation
bin10001011010000…
…00011111110000
3101011202101121220
420231000133300
5244340004430
622253345040
73422055216
oct1055003760
9334671556
10146016240
1175471187
1240a98180
1324335856
141556ccb6
15cc44110
hex8b407f0

146016240 has 40 divisors (see below), whose sum is σ = 452651088. Its totient is φ = 38937600.

The previous prime is 146016239. The next prime is 146016251. The reversal of 146016240 is 42610641.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 146016240.

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, 303961 + ... + 304440.

Almost surely, 2146016240 is an apocalyptic number.

146016240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146016240 is an abundant number, since it is smaller than the sum of its proper divisors (306634848).

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

146016240 is a wasteful number, since it uses less digits than its factorization.

146016240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608417 (or 608411 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 146016240 is about 12083.7179708896. The cubic root of 146016240 is about 526.5832658266.

Adding to 146016240 its reverse (42610641), we get a palindrome (188626881).

The spelling of 146016240 in words is "one hundred forty-six million, sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 608401 1216802 1825203 2433604 3042005 3650406 4867208 6084010 7300812 9126015 9734416 12168020 14601624 18252030 24336040 29203248 36504060 48672080 73008120 146016240