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123487680 = 2635307419
BaseRepresentation
bin1110101110001…
…00010111000000
322121100211020210
413113010113000
5223103101210
620130434120
73026425251
oct727042700
9277324223
10123487680
1163784138
1235432940
131c778544
1412586b28
15ac93e20
hex75c45c0

123487680 has 112 divisors (see below), whose sum is σ = 394289280. Its totient is φ = 32744448.

The previous prime is 123487657. The next prime is 123487691. The reversal of 123487680 is 86784321.

It is a super-2 number, since 2×1234876802 = 30498414223564800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294511 + ... + 294929.

It is an arithmetic number, because the mean of its divisors is an integer number (3520440).

Almost surely, 2123487680 is an apocalyptic number.

123487680 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 123487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197144640).

123487680 is an abundant number, since it is smaller than the sum of its proper divisors (270801600).

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

123487680 is a wasteful number, since it uses less digits than its factorization.

123487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 123487680 is about 11112.5010686164. The cubic root of 123487680 is about 497.9753862772.

The spelling of 123487680 in words is "one hundred twenty-three million, four hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 307 320 419 480 614 838 921 960 1228 1257 1535 1676 1842 2095 2456 2514 3070 3352 3684 4190 4605 4912 5028 6140 6285 6704 7368 8380 9210 9824 10056 12280 12570 13408 14736 16760 18420 19648 20112 24560 25140 26816 29472 33520 36840 40224 49120 50280 58944 67040 73680 80448 98240 100560 128633 134080 147360 201120 257266 294720 385899 402240 514532 643165 771798 1029064 1286330 1543596 1929495 2058128 2572660 3087192 3858990 4116256 5145320 6174384 7717980 8232512 10290640 12348768 15435960 20581280 24697536 30871920 41162560 61743840 123487680