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123719140 = 22531241157
BaseRepresentation
bin1110101111111…
…00110111100100
322121210120202101
413113330313210
5223133003030
620135421444
73031411126
oct727746744
9277716671
10123719140
1163922026
1235524884
131c8299bc
1412607216
15acdc7ca
hex75fcde4

123719140 has 72 divisors (see below), whose sum is σ = 276761016. Its totient is φ = 46425600.

The previous prime is 123719137. The next prime is 123719147. The reversal of 123719140 is 41917321.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 123165604 = 744^2 + 11098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123719099 and 123719108.

It is not an unprimeable number, because it can be changed into a prime (123719147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787942 + ... + 788098.

It is an arithmetic number, because the mean of its divisors is an integer number (3843903).

Almost surely, 2123719140 is an apocalyptic number.

123719140 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 123719140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138380508).

123719140 is an abundant number, since it is smaller than the sum of its proper divisors (153041876).

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

123719140 is a wasteful number, since it uses less digits than its factorization.

123719140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 123719140 is about 11122.9105903086. The cubic root of 123719140 is about 498.2863199783.

The spelling of 123719140 in words is "one hundred twenty-three million, seven hundred nineteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 157 164 205 310 314 410 620 628 785 820 961 1271 1570 1922 2542 3140 3844 4805 4867 5084 6355 6437 9610 9734 12710 12874 19220 19468 24335 25420 25748 32185 39401 48670 64370 78802 97340 128740 150877 157604 197005 199547 301754 394010 399094 603508 754385 788020 798188 997735 1508770 1995470 3017540 3990940 6185957 12371914 24743828 30929785 61859570 123719140