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1385633070 = 23251091371031
BaseRepresentation
bin101001010010111…
…0001010100101110
310120120022110020100
41102211301110232
510314210224240
6345254531530
746223454363
oct12245612456
93516273210
101385633070
116511766a8
12328066ba6
131910bb333
14d205246a
15819a7e30
hex5297152e

1385633070 has 96 divisors (see below), whose sum is σ = 3665787840. Its totient is φ = 363087360.

The previous prime is 1385633057. The next prime is 1385633087. The reversal of 1385633070 is 703365831.

1385633070 is a `hidden beast` number, since 13 + 8 + 5 + 633 + 0 + 7 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343455 + ... + 1344485.

It is an arithmetic number, because the mean of its divisors is an integer number (38185290).

Almost surely, 21385633070 is an apocalyptic number.

1385633070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385633070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832893920).

1385633070 is an abundant number, since it is smaller than the sum of its proper divisors (2280154770).

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

1385633070 is a wasteful number, since it uses less digits than its factorization.

1385633070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1385633070 is about 37224.0926014322. The cubic root of 1385633070 is about 1114.8490803663.

The spelling of 1385633070 in words is "one billion, three hundred eighty-five million, six hundred thirty-three thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 137 218 274 327 411 545 654 685 822 981 1031 1090 1233 1370 1635 1962 2055 2062 2466 3093 3270 4110 4905 5155 6165 6186 9279 9810 10310 12330 14933 15465 18558 29866 30930 44799 46395 74665 89598 92790 112379 134397 141247 149330 223995 224758 268794 282494 337137 423741 447990 561895 671985 674274 706235 847482 1011411 1123790 1271223 1343970 1412470 1685685 2022822 2118705 2542446 3371370 4237410 5057055 6356115 10114110 12712230 15395923 30791846 46187769 76979615 92375538 138563307 153959230 230938845 277126614 461877690 692816535 1385633070