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1010312240 = 24571804129
BaseRepresentation
bin111100001110000…
…010010000110000
32121102002011211212
4330032002100300
54032114442430
6244130255252
734015340510
oct7416022060
92542064755
101010312240
114793275a3
12242427528
1313140abc2
1498273840
155da6bb95
hex3c382430

1010312240 has 40 divisors (see below), whose sum is σ = 2684545440. Its totient is φ = 346392576.

The previous prime is 1010312207. The next prime is 1010312243. The reversal of 1010312240 is 422130101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1010312243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 901505 + ... + 902624.

It is an arithmetic number, because the mean of its divisors is an integer number (67113636).

Almost surely, 21010312240 is an apocalyptic number.

1010312240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010312240 is an abundant number, since it is smaller than the sum of its proper divisors (1674233200).

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

1010312240 is a wasteful number, since it uses less digits than its factorization.

1010312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804149 (or 1804143 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1010312240 is about 31785.4092312809. The cubic root of 1010312240 is about 1003.4256647541.

Adding to 1010312240 its reverse (422130101), we get a palindrome (1432442341).

The spelling of 1010312240 in words is "one billion, ten million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1804129 3608258 7216516 9020645 12628903 14433032 18041290 25257806 28866064 36082580 50515612 63144515 72165160 101031224 126289030 144330320 202062448 252578060 505156120 1010312240