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10387899340 = 225713333773
BaseRepresentation
bin10011010110010101…
…01100001111001100
3222210221122221222121
421223022230033030
5132233300234330
64434440422324
7515264454550
oct115312541714
928727587877
1010387899340
114450775585
12201aa779a4
13c97183000
14707897860
1540be8117a
hex26b2ac3cc

10387899340 has 96 divisors (see below), whose sum is σ = 27008392320. Its totient is φ = 3287501568.

The previous prime is 10387899323. The next prime is 10387899349. The reversal of 10387899340 is 4399878301.

10387899340 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 (52).

It is not an unprimeable number, because it can be changed into a prime (10387899349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290694 + ... + 324466.

It is an arithmetic number, because the mean of its divisors is an integer number (281337420).

Almost surely, 210387899340 is an apocalyptic number.

10387899340 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 10387899340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13504196160).

10387899340 is an abundant number, since it is smaller than the sum of its proper divisors (16620492980).

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

10387899340 is a wasteful number, since it uses less digits than its factorization.

10387899340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33828 (or 33800 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 10387899340 in words is "ten billion, three hundred eighty-seven million, eight hundred ninety-nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 2197 2366 3380 4394 4732 5915 8788 10985 11830 15379 21970 23660 30758 33773 43940 61516 67546 76895 135092 153790 168865 236411 307580 337730 439049 472822 675460 878098 945644 1182055 1756196 2195245 2364110 3073343 4390490 4728220 5707637 6146686 8780980 11415274 12293372 15366715 22830548 28538185 30733430 39953459 57076370 61466860 74199281 79906918 114152740 148398562 159813836 199767295 296797124 370996405 399534590 519394967 741992810 799069180 1038789934 1483985620 2077579868 2596974835 5193949670 10387899340