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146660144 = 24231372909
BaseRepresentation
bin10001011110111…
…01101100110000
3101012222002220012
420233131230300
5300021111034
622315234052
73430406411
oct1057355460
9335862805
10146660144
1175870a34
1241148928
13244cc967
1415699808
15cd1ecce
hex8bddb30

146660144 has 40 divisors (see below), whose sum is σ = 298775520. Its totient is φ = 69605888.

The previous prime is 146660117. The next prime is 146660147. The reversal of 146660144 is 441066641.

It is a self number, because there is not a number n which added to its sum of digits gives 146660144.

It is not an unprimeable number, because it can be changed into a prime (146660147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48962 + ... + 51870.

It is an arithmetic number, because the mean of its divisors is an integer number (7469388).

Almost surely, 2146660144 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 146660144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149387760).

146660144 is an abundant number, since it is smaller than the sum of its proper divisors (152115376).

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

146660144 is a wasteful number, since it uses less digits than its factorization.

146660144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 146660144 is about 12110.3321176589. The cubic root of 146660144 is about 527.3561750101.

The spelling of 146660144 in words is "one hundred forty-six million, six hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 137 184 274 368 548 1096 2192 2909 3151 5818 6302 11636 12604 23272 25208 46544 50416 66907 133814 267628 398533 535256 797066 1070512 1594132 3188264 6376528 9166259 18332518 36665036 73330072 146660144