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146024116 = 22725314057
BaseRepresentation
bin10001011010000…
…10011010110100
3101011202210102121
420231002122310
5244340232431
622253445324
73422120200
oct1055023264
9334683377
10146024116
1175477097
1240aa0844
1324339304
1415571b00
15cc46611
hex8b426b4

146024116 has 36 divisors (see below), whose sum is σ = 302893668. Its totient is φ = 61396608.

The previous prime is 146024113. The next prime is 146024119. The reversal of 146024116 is 611420641.

It is an interprime number because it is at equal distance from previous prime (146024113) and next prime (146024119).

It can be written as a sum of positive squares in 2 ways, for example, as 46104100 + 99920016 = 6790^2 + 9996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146024111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3360 + ... + 17416.

It is an arithmetic number, because the mean of its divisors is an integer number (8413713).

Almost surely, 2146024116 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 146024116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151446834).

146024116 is an abundant number, since it is smaller than the sum of its proper divisors (156869552).

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

146024116 is a wasteful number, since it uses less digits than its factorization.

146024116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14128 (or 14119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 146024116 is about 12084.0438595695. The cubic root of 146024116 is about 526.5927334841.

Adding to 146024116 its reverse (611420641), we get a palindrome (757444757).

The spelling of 146024116 in words is "one hundred forty-six million, twenty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 2597 5194 10388 14057 28114 56228 98399 196798 393596 688793 745021 1377586 1490042 2755172 2980084 5215147 10430294 20860588 36506029 73012058 146024116