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103124720 = 24517191397
BaseRepresentation
bin1100010010110…
…00111011110000
321012001021112002
412021120323300
5202344442340
614122153132
72361355106
oct611307360
9235037462
10103124720
1153236146
122a6527a8
1318498b5a
14d9a5c76
1590c0715
hex6258ef0

103124720 has 80 divisors (see below), whose sum is σ = 255840768. Its totient is φ = 38522880.

The previous prime is 103124719. The next prime is 103124741. The reversal of 103124720 is 27421301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103124692 and 103124701.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 259562 + ... + 259958.

Almost surely, 2103124720 is an apocalyptic number.

103124720 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 103124720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127920384).

103124720 is an abundant number, since it is smaller than the sum of its proper divisors (152716048).

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

103124720 is a wasteful number, since it uses less digits than its factorization.

103124720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 103124720 is about 10155.0342195386. The cubic root of 103124720 is about 468.9439394230.

The spelling of 103124720 in words is "one hundred three million, one hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 191 272 340 382 397 680 764 794 955 1360 1528 1588 1910 1985 3056 3176 3247 3820 3970 6352 6494 6749 7640 7940 12988 13498 15280 15880 16235 25976 26996 31760 32470 33745 51952 53992 64940 67490 75827 107984 129880 134980 151654 259760 269960 303308 379135 539920 606616 758270 1213232 1289059 1516540 2578118 3033080 5156236 6066160 6445295 10312472 12890590 20624944 25781180 51562360 103124720