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108073472 = 291321249
BaseRepresentation
bin1100111000100…
…01001000000000
321112100200221012
412130101020000
5210131322342
614420220052
72451416003
oct634211000
9245320835
10108073472
1156006221
123023a628
131950c500
14104d353a
15974bb82
hex6711200

108073472 has 60 divisors (see below), whose sum is σ = 234011250. Its totient is φ = 49840128.

The previous prime is 108073457. The next prime is 108073477. The reversal of 108073472 is 274370801.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 49336576 + 58736896 = 7024^2 + 7664^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (108073477) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85904 + ... + 87152.

Almost surely, 2108073472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117005625).

108073472 is an abundant number, since it is smaller than the sum of its proper divisors (125937778).

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

108073472 is an equidigital number, since it uses as much as digits as its factorization.

108073472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 108073472 is about 10395.8391676670. The cubic root of 108073472 is about 476.3282814169.

The spelling of 108073472 in words is "one hundred eight million, seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1249 1352 1664 2498 2704 3328 4996 5408 6656 9992 10816 16237 19984 21632 32474 39968 43264 64948 79936 86528 129896 159872 211081 259792 319744 422162 519584 639488 844324 1039168 1688648 2078336 3377296 4156672 6754592 8313344 13509184 27018368 54036736 108073472