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1017097140 = 223530755217
BaseRepresentation
bin111100100111111…
…010101110110100
32121212211212222110
4330213322232310
54040334102030
6244531531020
734130116533
oct7447725664
92555755873
101017097140
11482141154
12244759a70
13132945237
149911c31a
155e45c1b0
hex3c9fabb4

1017097140 has 48 divisors (see below), whose sum is σ = 2857200192. Its totient is φ = 270337536.

The previous prime is 1017097139. The next prime is 1017097141. The reversal of 1017097140 is 417907101.

1017097140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1017097139) and next prime (1017097141).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1017097098 and 1017097107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017097141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9189 + ... + 46028.

It is an arithmetic number, because the mean of its divisors is an integer number (59525004).

Almost surely, 21017097140 is an apocalyptic number.

1017097140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1017097140 is an abundant number, since it is smaller than the sum of its proper divisors (1840103052).

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

1017097140 is a wasteful number, since it uses less digits than its factorization.

1017097140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55536 (or 55534 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The square root of 1017097140 is about 31891.9604289231. The cubic root of 1017097140 is about 1005.6668725611. Note that the first 3 decimals are identical.

The spelling of 1017097140 in words is "one billion, seventeen million, ninety-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 307 614 921 1228 1535 1842 3070 3684 4605 6140 9210 18420 55217 110434 165651 220868 276085 331302 552170 662604 828255 1104340 1656510 3313020 16951619 33903238 50854857 67806476 84758095 101709714 169516190 203419428 254274285 339032380 508548570 1017097140