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10392948 = 223432077
BaseRepresentation
bin100111101001…
…010101110100
3201120000110000
4213221111310
510130033243
61010431300
7154224066
oct47512564
921500400
1010392948
115959415
123592530
1321cb697
141547736
15da45d3
hex9e9574

10392948 has 30 divisors (see below), whose sum is σ = 27170066. Its totient is φ = 3464208.

The previous prime is 10392947. The next prime is 10392953. The reversal of 10392948 is 84929301.

It can be written as a sum of positive squares in only one way, i.e., 10381284 + 11664 = 3222^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10392947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15715 + ... + 16362.

Almost surely, 210392948 is an apocalyptic number.

10392948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10392948 is an abundant number, since it is smaller than the sum of its proper divisors (16777118).

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

10392948 is a wasteful number, since it uses less digits than its factorization.

10392948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32093 (or 32082 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 10392948 is about 3223.8095477246. The cubic root of 10392948 is about 218.2292289015.

The spelling of 10392948 in words is "ten million, three hundred ninety-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 32077 64154 96231 128308 192462 288693 384924 577386 866079 1154772 1732158 2598237 3464316 5196474 10392948