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1010353040 = 245292711607
BaseRepresentation
bin111100001110001…
…100001110010000
32121102011020210222
4330032030032100
54032122244130
6244131212212
734015600454
oct7416141620
92542136728
101010353040
11479355214
12242447068
13131423648
1498284664
155da78ce5
hex3c38c390

1010353040 has 80 divisors (see below), whose sum is σ = 2440558080. Its totient is φ = 388523520.

The previous prime is 1010352991. The next prime is 1010353051. The reversal of 1010353040 is 403530101.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 627917 + ... + 629523.

It is an arithmetic number, because the mean of its divisors is an integer number (30506976).

Almost surely, 21010353040 is an apocalyptic number.

1010353040 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 1010353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220279040).

1010353040 is an abundant number, since it is smaller than the sum of its proper divisors (1430205040).

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

1010353040 is a wasteful number, since it uses less digits than its factorization.

1010353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1010353040 is about 31786.0510287138. The cubic root of 1010353040 is about 1003.4391718708.

Adding to 1010353040 its reverse (403530101), we get a palindrome (1413883141).

The spelling of 1010353040 in words is "one billion, ten million, three hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 271 290 464 542 580 1084 1160 1355 1607 2168 2320 2710 3214 4336 5420 6428 7859 8035 10840 12856 15718 16070 21680 25712 31436 32140 39295 46603 62872 64280 78590 93206 125744 128560 157180 186412 233015 314360 372824 435497 466030 628720 745648 870994 932060 1741988 1864120 2177485 3483976 3728240 4354970 6967952 8709940 12629413 17419880 25258826 34839760 50517652 63147065 101035304 126294130 202070608 252588260 505176520 1010353040