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123530040 = 233253111069
BaseRepresentation
bin1110101110011…
…10101100111000
322121102222100200
413113032230320
5223110430130
620131402200
73026662614
oct727165470
9277388320
10123530040
1163802a47
1235453360
131c7918ca
1412598344
15aca1760
hex75ceb38

123530040 has 96 divisors (see below), whose sum is σ = 414460800. Its totient is φ = 31875840.

The previous prime is 123530003. The next prime is 123530047. The reversal of 123530040 is 40035321.

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

It is a junction number, because it is equal to n+sod(n) for n = 123529995 and 123530022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123530047) 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, 5626 + ... + 16694.

It is an arithmetic number, because the mean of its divisors is an integer number (4317300).

Almost surely, 2123530040 is an apocalyptic number.

123530040 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 123530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207230400).

123530040 is an abundant number, since it is smaller than the sum of its proper divisors (290930760).

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

123530040 is a wasteful number, since it uses less digits than its factorization.

123530040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11117 (or 11110 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 123530040 is about 11114.4068667653. The cubic root of 123530040 is about 498.0323199617.

Adding to 123530040 its reverse (40035321), we get a palindrome (163565361).

The spelling of 123530040 in words is "one hundred twenty-three million, five hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11069 11160 22138 33207 44276 55345 66414 88552 99621 110690 132828 166035 199242 221380 265656 332070 343139 398484 442760 498105 664140 686278 796968 996210 1029417 1328280 1372556 1715695 1992420 2058834 2745112 3088251 3431390 3984840 4117668 5147085 6176502 6862780 8235336 10294170 12353004 13725560 15441255 20588340 24706008 30882510 41176680 61765020 123530040