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120010408 = 2372306149
BaseRepresentation
bin1110010011100…
…11011010101000
322100211011022221
413021303122220
5221210313113
615524123424
72655033400
oct711633250
9270734287
10120010408
1161819661
1234236574
131bb2b89b
1411d1d800
15a80898d
hex72736a8

120010408 has 24 divisors (see below), whose sum is σ = 261758250. Its totient is φ = 51432864.

The previous prime is 120010313. The next prime is 120010409. The reversal of 120010408 is 804010021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 109369764 + 10640644 = 10458^2 + 3262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120010391 and 120010400.

It is not an unprimeable number, because it can be changed into a prime (120010409) 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, 152683 + ... + 153466.

Almost surely, 2120010408 is an apocalyptic number.

It is an amenable number.

120010408 is an abundant number, since it is smaller than the sum of its proper divisors (141747842).

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

120010408 is a wasteful number, since it uses less digits than its factorization.

120010408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306169 (or 306158 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 120010408 is about 10954.9261978345. The cubic root of 120010408 is about 493.2566746401.

Adding to 120010408 its reverse (804010021), we get a palindrome (924020429).

The spelling of 120010408 in words is "one hundred twenty million, ten thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 306149 612298 1224596 2143043 2449192 4286086 8572172 15001301 17144344 30002602 60005204 120010408