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123988896 = 2532430517
BaseRepresentation
bin1110110001111…
…10101110100000
322122022021210100
413120332232200
5223220121041
620145302400
73033613443
oct730765640
9278267710
10123988896
1163a96769
1235634a00
131c8c2715
141267765a
15ad426b6
hex763eba0

123988896 has 36 divisors (see below), whose sum is σ = 352594242. Its totient is φ = 41329536.

The previous prime is 123988859. The next prime is 123988901. The reversal of 123988896 is 698889321.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 92852496 + 31136400 = 9636^2 + 5580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214971 + ... + 215546.

Almost surely, 2123988896 is an apocalyptic number.

123988896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123988896 is an abundant number, since it is smaller than the sum of its proper divisors (228605346).

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

123988896 is a wasteful number, since it uses less digits than its factorization.

123988896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430533 (or 430522 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 123988896 is about 11135.0301301793. The cubic root of 123988896 is about 498.6482099542.

The spelling of 123988896 in words is "one hundred twenty-three million, nine hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 430517 861034 1291551 1722068 2583102 3444136 3874653 5166204 6888272 7749306 10332408 13776544 15498612 20664816 30997224 41329632 61994448 123988896