Search a number
-
+
123793890 = 23511267509
BaseRepresentation
bin1110110000011…
…11000111100010
322121221101021220
413120033013202
5223142401030
620141155510
73032142063
oct730170742
9277841256
10123793890
1163973200
123555bb96
131c854a2c
141262656a
15ad04a10
hex760f1e2

123793890 has 96 divisors (see below), whose sum is σ = 332095680. Its totient is φ = 29504640.

The previous prime is 123793841. The next prime is 123793903. The reversal of 123793890 is 98397321.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242956 + ... + 243464.

It is an arithmetic number, because the mean of its divisors is an integer number (3459330).

Almost surely, 2123793890 is an apocalyptic number.

123793890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123793890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166047840).

123793890 is an abundant number, since it is smaller than the sum of its proper divisors (208301790).

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

123793890 is a wasteful number, since it uses less digits than its factorization.

123793890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 123793890 is about 11126.2702645586. The cubic root of 123793890 is about 498.3866531564.

The spelling of 123793890 in words is "one hundred twenty-three million, seven hundred ninety-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 121 134 165 201 242 330 335 363 402 509 605 670 726 737 1005 1018 1210 1474 1527 1815 2010 2211 2545 3054 3630 3685 4422 5090 5599 7370 7635 8107 11055 11198 15270 16214 16797 22110 24321 27995 33594 34103 40535 48642 55990 61589 68206 81070 83985 102309 121605 123178 167970 170515 184767 204618 243210 307945 341030 369534 375133 511545 615890 750266 923835 1023090 1125399 1847670 1875665 2250798 3751330 4126463 5626995 8252926 11253990 12379389 20632315 24758778 41264630 61896945 123793890