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148032973 = 11210112113
BaseRepresentation
bin10001101001011…
…00110111001101
3101022112212001201
420310230313031
5300344023343
622404505501
73445155004
oct1064546715
9338485051
10148032973
1176619400
12416ab291
132489079a
1415935c3b
15cee194d
hex8d2cdcd

148032973 has 12 divisors (see below), whose sum is σ = 164338524. Its totient is φ = 133232000.

The previous prime is 148032943. The next prime is 148033003. The reversal of 148032973 is 379230841.

It is an interprime number because it is at equal distance from previous prime (148032943) and next prime (148033003).

It can be written as a sum of positive squares in 2 ways, for example, as 101969604 + 46063369 = 10098^2 + 6787^2 .

It is a de Polignac number, because none of the positive numbers 2k-148032973 is a prime.

It is a super-2 number, since 2×1480329732 = 43827522190437458, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148032943) 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, 6165 + ... + 18277.

It is an arithmetic number, because the mean of its divisors is an integer number (13694877).

Almost surely, 2148032973 is an apocalyptic number.

It is an amenable number.

148032973 is a deficient number, since it is larger than the sum of its proper divisors (16305551).

148032973 is a wasteful number, since it uses less digits than its factorization.

148032973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12236 (or 12225 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 148032973 is about 12166.8801670765. The cubic root of 148032973 is about 528.9965265762.

It can be divided in two parts, 1480 and 32973, that added together give a triangular number (34453 = T262).

The spelling of 148032973 in words is "one hundred forty-eight million, thirty-two thousand, nine hundred seventy-three".

Divisors: 1 11 101 121 1111 12113 12221 133243 1223413 1465673 13457543 148032973