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123141040 = 24511413413
BaseRepresentation
bin1110101011011…
…11101110110000
322120201012202021
413111233232300
5223011003130
620115201224
73023452531
oct725575660
9276635667
10123141040
1163567760
12352a6214
131c686829
14124d6688
15ac2637a
hex756fbb0

123141040 has 80 divisors (see below), whose sum is σ = 320042016. Its totient is φ = 43673600.

The previous prime is 123141019. The next prime is 123141089. The reversal of 123141040 is 40141321.

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 (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34374 + ... + 37786.

Almost surely, 2123141040 is an apocalyptic number.

123141040 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 123141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160021008).

123141040 is an abundant number, since it is smaller than the sum of its proper divisors (196900976).

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

123141040 is a wasteful number, since it uses less digits than its factorization.

123141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 123141040 is about 11096.8932589261. The cubic root of 123141040 is about 497.5089970848.

Adding to 123141040 its reverse (40141321), we get a palindrome (163282361).

The spelling of 123141040 in words is "one hundred twenty-three million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3413 3608 4510 6826 7216 9020 13652 17065 18040 27304 34130 36080 37543 54608 68260 75086 136520 139933 150172 187715 273040 279866 300344 375430 559732 600688 699665 750860 1119464 1399330 1501720 1539263 2238928 2798660 3003440 3078526 5597320 6157052 7696315 11194640 12314104 15392630 24628208 30785260 61570520 123141040