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1023210040 = 235193893461
BaseRepresentation
bin111100111111001…
…111001000111000
32122022100110022011
4330333033020320
54043420210130
6245310535304
734233066436
oct7477171070
92568313264
101023210040
11485636936
12246807534
13133ca5738
1499c6dd56
155ec6852a
hex3cfcf238

1023210040 has 64 divisors (see below), whose sum is σ = 2430324000. Its totient is φ = 386634240.

The previous prime is 1023210031. The next prime is 1023210043. The reversal of 1023210040 is 400123201.

It is a self number, because there is not a number n which added to its sum of digits gives 1023210040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023210043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293910 + ... + 297370.

Almost surely, 21023210040 is an apocalyptic number.

1023210040 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 1023210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215162000).

1023210040 is an abundant number, since it is smaller than the sum of its proper divisors (1407113960).

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

1023210040 is a wasteful number, since it uses less digits than its factorization.

1023210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1023210040 is about 31987.6544935699. The cubic root of 1023210040 is about 1007.6775838537.

Adding to 1023210040 its reverse (400123201), we get a palindrome (1423333241).

The spelling of 1023210040 in words is "one billion, twenty-three million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 389 760 778 1556 1945 3112 3461 3890 6922 7391 7780 13844 14782 15560 17305 27688 29564 34610 36955 59128 65759 69220 73910 131518 138440 147820 263036 295640 328795 526072 657590 1315180 1346329 2630360 2692658 5385316 6731645 10770632 13463290 25580251 26926580 51160502 53853160 102321004 127901255 204642008 255802510 511605020 1023210040