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554057640 = 233251539049
BaseRepresentation
bin100001000001100…
…011111110101000
31102121120001012100
4201001203332220
52113314321030
6130551213400
716505261253
oct4101437650
91377501170
10554057640
11264829784
12135677260
138aa31376
145382809a
1533995360
hex21063fa8

554057640 has 48 divisors (see below), whose sum is σ = 1800688500. Its totient is φ = 147748608.

The previous prime is 554057627. The next prime is 554057653. The reversal of 554057640 is 46750455.

It is a happy number.

554057640 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 5 + 7 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (554057627) and next prime (554057653).

It can be written as a sum of positive squares in 2 ways, for example, as 542237796 + 11819844 = 23286^2 + 3438^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 554057595 and 554057604.

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 11 ways as a sum of consecutive naturals, for example, 769165 + ... + 769884.

Almost surely, 2554057640 is an apocalyptic number.

It is an amenable number.

554057640 is an abundant number, since it is smaller than the sum of its proper divisors (1246630860).

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

554057640 is a wasteful number, since it uses less digits than its factorization.

554057640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539066 (or 1539059 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 554057640 is about 23538.4290045024. The cubic root of 554057640 is about 821.3311909333.

The spelling of 554057640 in words is "five hundred fifty-four million, fifty-seven thousand, six 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 1539049 3078098 4617147 6156196 7695245 9234294 12312392 13851441 15390490 18468588 23085735 27702882 30780980 36937176 46171470 55405764 61561960 69257205 92342940 110811528 138514410 184685880 277028820 554057640