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123244020 = 223254315923
BaseRepresentation
bin1110101100010…
…00110111110100
322120220110000100
413112020313310
5223022302040
620121314100
73024362004
oct726106764
9276813010
10123244020
1163628069
1235335930
131c6c1673
1412522004
15ac46b30
hex7588df4

123244020 has 72 divisors (see below), whose sum is σ = 382558176. Its totient is φ = 32098752.

The previous prime is 123244007. The next prime is 123244031. The reversal of 123244020 is 20442321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123243984 and 123244002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222 + ... + 15701.

It is an arithmetic number, because the mean of its divisors is an integer number (5313308).

Almost surely, 2123244020 is an apocalyptic number.

123244020 is a gapful number since it is divisible by the number (10) 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 123244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191279088).

123244020 is an abundant number, since it is smaller than the sum of its proper divisors (259314156).

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

123244020 is a wasteful number, since it uses less digits than its factorization.

123244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15981 (or 15976 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 123244020 is about 11101.5323266655. The cubic root of 123244020 is about 497.6476435273.

Adding to 123244020 its reverse (20442321), we get a palindrome (143686341).

The spelling of 123244020 in words is "one hundred twenty-three million, two hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 15923 31846 47769 63692 79615 95538 143307 159230 191076 238845 286614 318460 477690 573228 684689 716535 955380 1369378 1433070 2054067 2738756 2866140 3423445 4108134 6162201 6846890 8216268 10270335 12324402 13693780 20540670 24648804 30811005 41081340 61622010 123244020