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123081480 = 23325437951
BaseRepresentation
bin1110101011000…
…01001100001000
322120121012001100
413111201030020
5223002101410
620114021400
73023114064
oct725411410
9276535040
10123081480
1163526a35
1235277860
131c6656a2
14124bcaa4
15ac138c0
hex7561308

123081480 has 96 divisors (see below), whose sum is σ = 409368960. Its totient is φ = 32054400.

The previous prime is 123081473. The next prime is 123081503. The reversal of 123081480 is 84180321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11505 + ... + 19455.

It is an arithmetic number, because the mean of its divisors is an integer number (4264260).

Almost surely, 2123081480 is an apocalyptic number.

123081480 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 123081480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204684480).

123081480 is an abundant number, since it is smaller than the sum of its proper divisors (286287480).

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

123081480 is a wasteful number, since it uses less digits than its factorization.

123081480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 123081480 is about 11094.2093003512. The cubic root of 123081480 is about 497.4287735880.

The spelling of 123081480 in words is "one hundred twenty-three million, eighty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 7951 15480 15902 23853 31804 39755 47706 63608 71559 79510 95412 119265 143118 159020 190824 238530 286236 318040 341893 357795 477060 572472 683786 715590 954120 1025679 1367572 1431180 1709465 2051358 2735144 2862360 3077037 3418930 4102716 5128395 6154074 6837860 8205432 10256790 12308148 13675720 15385185 20513580 24616296 30770370 41027160 61540740 123081480