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1385690020 = 2251113796133
BaseRepresentation
bin101001010010111…
…1111001110100100
310120120102100100121
41102211333032210
510314214040040
6345300051324
746224112411
oct12245771644
93516370317
101385690020
11651205470
12328093b44
1319110b230
14d2069108
15819b9c4a
hex5297f3a4

1385690020 has 96 divisors (see below), whose sum is σ = 3462520320. Its totient is φ = 459164160.

The previous prime is 1385690011. The next prime is 1385690029. The reversal of 1385690020 is 200965831.

It is an interprime number because it is at equal distance from previous prime (1385690011) and next prime (1385690029).

It is a super-3 number, since 3×13856900203 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1385690029) 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, 222874 + ... + 229006.

It is an arithmetic number, because the mean of its divisors is an integer number (36067920).

Almost surely, 21385690020 is an apocalyptic number.

1385690020 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 1385690020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731260160).

1385690020 is an abundant number, since it is smaller than the sum of its proper divisors (2076830300).

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

1385690020 is a wasteful number, since it uses less digits than its factorization.

1385690020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245 (or 6243 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1385690020 is about 37224.8575551338. The cubic root of 1385690020 is about 1114.8643537184.

The spelling of 1385690020 in words is "one billion, three hundred eighty-five million, six hundred ninety thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 79 110 130 143 158 220 260 286 316 395 572 715 790 869 1027 1430 1580 1738 2054 2860 3476 4108 4345 5135 6133 8690 10270 11297 12266 17380 20540 22594 24532 30665 45188 56485 61330 67463 79729 112970 122660 134926 159458 225940 269852 318916 337315 398645 484507 674630 797290 877019 969014 1349260 1594580 1754038 1938028 2422535 3508076 4385095 4845070 5329577 6298591 8770190 9690140 10659154 12597182 17540380 21318308 25194364 26647885 31492955 53295770 62985910 69284501 106591540 125971820 138569002 277138004 346422505 692845010 1385690020