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1010015240 = 2351313114827
BaseRepresentation
bin111100001100111…
…001110000001000
32121101112002102212
4330030321300020
54032030441430
6244120044252
734012662563
oct7414716010
92541462385
101010015240
11479144443
12242303688
13131335970
14981d74da
155da0db95
hex3c339c08

1010015240 has 64 divisors (see below), whose sum is σ = 2466192960. Its totient is φ = 370056960.

The previous prime is 1010015207. The next prime is 1010015269. The reversal of 1010015240 is 425100101.

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, 60707 + ... + 75533.

It is an arithmetic number, because the mean of its divisors is an integer number (38534265).

Almost surely, 21010015240 is an apocalyptic number.

1010015240 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 1010015240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233096480).

1010015240 is an abundant number, since it is smaller than the sum of its proper divisors (1456177720).

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

1010015240 is a wasteful number, since it uses less digits than its factorization.

1010015240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14982 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1010015240 is about 31780.7369329284. The cubic root of 1010015240 is about 1003.3273299298.

Adding to 1010015240 its reverse (425100101), we get a palindrome (1435115341).

The spelling of 1010015240 in words is "one billion, ten million, fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 131 260 262 520 524 655 1048 1310 1703 2620 3406 5240 6812 8515 13624 14827 17030 29654 34060 59308 68120 74135 118616 148270 192751 296540 385502 593080 771004 963755 1542008 1927510 1942337 3855020 3884674 7710040 7769348 9711685 15538696 19423370 25250381 38846740 50500762 77693480 101001524 126251905 202003048 252503810 505007620 1010015240