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123130440 = 23325571599
BaseRepresentation
bin1110101011011…
…01001001001000
322120200200012200
413111231021020
5223010133230
620115040200
73023406606
oct725551110
9276620180
10123130440
116355a7a4
12352a0060
131c681a64
14124d2876
15ac23160
hex756d248

123130440 has 96 divisors (see below), whose sum is σ = 401544000. Its totient is φ = 32722560.

The previous prime is 123130379. The next prime is 123130451. The reversal of 123130440 is 44031321.

It is a super-2 number, since 2×1231304402 = 30322210509187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205261 + ... + 205859.

It is an arithmetic number, because the mean of its divisors is an integer number (4182750).

Almost surely, 2123130440 is an apocalyptic number.

123130440 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 123130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200772000).

123130440 is an abundant number, since it is smaller than the sum of its proper divisors (278413560).

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

123130440 is a wasteful number, since it uses less digits than its factorization.

123130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123130440 is about 11096.4156374930. The cubic root of 123130440 is about 497.4947214578.

Adding to 123130440 its reverse (44031321), we get a palindrome (167161761).

The spelling of 123130440 in words is "one hundred twenty-three million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 571 599 1142 1198 1713 1797 2284 2396 2855 2995 3426 3594 4568 4792 5139 5391 5710 5990 6852 7188 8565 8985 10278 10782 11420 11980 13704 14376 17130 17970 20556 21564 22840 23960 25695 26955 34260 35940 41112 43128 51390 53910 68520 71880 102780 107820 205560 215640 342029 684058 1026087 1368116 1710145 2052174 2736232 3078261 3420290 4104348 5130435 6156522 6840580 8208696 10260870 12313044 13681160 15391305 20521740 24626088 30782610 41043480 61565220 123130440