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1010350140 = 2235293118731
BaseRepresentation
bin111100001110001…
…011100000111100
32121102011002211120
4330032023200330
54032122201030
6244131150540
734015556142
oct7416134074
92542132746
101010350140
11479353018
12242445450
13131422227
1498283592
155da78010
hex3c38b83c

1010350140 has 96 divisors (see below), whose sum is σ = 3021096960. Its totient is φ = 251731200.

The previous prime is 1010350129. The next prime is 1010350177. The reversal of 1010350140 is 410530101.

1010350140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44575 + ... + 63305.

It is an arithmetic number, because the mean of its divisors is an integer number (31469760).

Almost surely, 21010350140 is an apocalyptic number.

1010350140 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 1010350140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510548480).

1010350140 is an abundant number, since it is smaller than the sum of its proper divisors (2010746820).

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

1010350140 is a wasteful number, since it uses less digits than its factorization.

1010350140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18803 (or 18801 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1010350140 is about 31786.0054111869. The cubic root of 1010350140 is about 1003.4382118181.

Adding to 1010350140 its reverse (410530101), we get a palindrome (1420880241).

The spelling of 1010350140 in words is "one billion, ten million, three hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 31 58 60 62 87 93 116 124 145 155 174 186 290 310 348 372 435 465 580 620 870 899 930 1740 1798 1860 2697 3596 4495 5394 8990 10788 13485 17980 18731 26970 37462 53940 56193 74924 93655 112386 187310 224772 280965 374620 543199 561930 580661 1086398 1123860 1161322 1629597 1741983 2172796 2322644 2715995 2903305 3259194 3483966 5431990 5806610 6518388 6967932 8147985 8709915 10863980 11613220 16295970 16839169 17419830 32591940 33678338 34839660 50517507 67356676 84195845 101035014 168391690 202070028 252587535 336783380 505175070 1010350140