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123985992 = 23313401991
BaseRepresentation
bin1110110001111…
…10000001001000
322122022010210210
413120332001020
5223220022432
620145241120
73033602124
oct730760110
9278263723
10123985992
1163a94569
12356331a0
131c8c12c0
1412676584
15ad418cc
hex763e048

123985992 has 64 divisors (see below), whose sum is σ = 334978560. Its totient is φ = 38016000.

The previous prime is 123985969. The next prime is 123985999. The reversal of 123985992 is 299589321.

It is not an unprimeable number, because it can be changed into a prime (123985999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124617 + ... + 125607.

It is an arithmetic number, because the mean of its divisors is an integer number (5234040).

Almost surely, 2123985992 is an apocalyptic number.

123985992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123985992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167489280).

123985992 is an abundant number, since it is smaller than the sum of its proper divisors (210992568).

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

123985992 is a wasteful number, since it uses less digits than its factorization.

123985992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1410 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 123985992 is about 11134.8997301278. The cubic root of 123985992 is about 498.6443169021.

The spelling of 123985992 in words is "one hundred twenty-three million, nine hundred eighty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 401 802 991 1203 1604 1982 2406 2973 3208 3964 4812 5213 5946 7928 9624 10426 11892 12883 15639 20852 23784 25766 31278 38649 41704 51532 62556 77298 103064 125112 154596 309192 397391 794782 1192173 1589564 2384346 3179128 4768692 5166083 9537384 10332166 15498249 20664332 30996498 41328664 61992996 123985992