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123912320 = 2757171627
BaseRepresentation
bin1110110001011…
…00000010000000
322122011101202012
413120230002000
5223210143240
620143512052
73033144260
oct730540200
9278141665
10123912320
1163a44184
12355b8628
131c8968cc
14126577a0
15ad29b65
hex762c080

123912320 has 128 divisors (see below), whose sum is σ = 358680960. Its totient is φ = 39960576.

The previous prime is 123912307. The next prime is 123912323. The reversal of 123912320 is 23219321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123912323) 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, 75347 + ... + 76973.

It is an arithmetic number, because the mean of its divisors is an integer number (2802195).

Almost surely, 2123912320 is an apocalyptic number.

123912320 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 123912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179340480).

123912320 is an abundant number, since it is smaller than the sum of its proper divisors (234768640).

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

123912320 is a wasteful number, since it uses less digits than its factorization.

123912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 123912320 is about 11131.5910812426. The cubic root of 123912320 is about 498.5455331549.

The spelling of 123912320 in words is "one hundred twenty-three million, nine hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1360 1627 1904 2176 2240 2380 2720 3254 3808 4480 4760 5440 6508 7616 8135 9520 10880 11389 13016 15232 16270 19040 22778 26032 27659 32540 38080 45556 52064 55318 56945 65080 76160 91112 104128 110636 113890 130160 138295 182224 193613 208256 221272 227780 260320 276590 364448 387226 442544 455560 520640 553180 728896 774452 885088 911120 968065 1041280 1106360 1457792 1548904 1770176 1822240 1936130 2212720 3097808 3540352 3644480 3872260 4425440 6195616 7288960 7744520 8850880 12391232 15489040 17701760 24782464 30978080 61956160 123912320