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1036708140 = 2235134728279
BaseRepresentation
bin111101110010101…
…110100100101100
32200020202020012210
4331302232210230
54110344130030
6250512130420
734455605466
oct7562564454
92606666183
101036708140
11492216196
1224b236a10
13136a20590
149b985136
1561032bb0
hex3dcae92c

1036708140 has 96 divisors (see below), whose sum is σ = 3192698880. Its totient is φ = 249751296.

The previous prime is 1036708121. The next prime is 1036708159. The reversal of 1036708140 is 418076301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1036708121) and next prime (1036708159).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1036708098 and 1036708107.

It is an unprimeable number.

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, 22521 + ... + 50799.

It is an arithmetic number, because the mean of its divisors is an integer number (33257280).

Almost surely, 21036708140 is an apocalyptic number.

1036708140 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 1036708140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596349440).

1036708140 is an abundant number, since it is smaller than the sum of its proper divisors (2155990740).

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

1036708140 is a wasteful number, since it uses less digits than its factorization.

1036708140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28351 (or 28349 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1036708140 is about 32197.9524193698. The cubic root of 1036708140 is about 1012.0893063818.

The spelling of 1036708140 in words is "one billion, thirty-six million, seven hundred eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 390 470 564 611 705 780 940 1222 1410 1833 2444 2820 3055 3666 6110 7332 9165 12220 18330 28279 36660 56558 84837 113116 141395 169674 282790 339348 367627 424185 565580 735254 848370 1102881 1329113 1470508 1696740 1838135 2205762 2658226 3676270 3987339 4411524 5316452 5514405 6645565 7352540 7974678 11028810 13291130 15949356 17278469 19936695 22057620 26582260 34556938 39873390 51835407 69113876 79746780 86392345 103670814 172784690 207341628 259177035 345569380 518354070 1036708140