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1386837720 = 233354329863
BaseRepresentation
bin101001010101001…
…0111011011011000
310120122120122201000
41102222113123120
510320012301340
6345340425000
746236632442
oct12252273330
93518518630
101386837720
11651919784
12328548160
13191420748
14d2287492
1581b44d30
hex52a976d8

1386837720 has 128 divisors (see below), whose sum is σ = 4730457600. Its totient is φ = 361210752.

The previous prime is 1386837709. The next prime is 1386837733. The reversal of 1386837720 is 277386831.

It is a super-2 number, since 2×13868377202 = 3846637723229596800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31509 + ... + 61371.

It is an arithmetic number, because the mean of its divisors is an integer number (36956700).

Almost surely, 21386837720 is an apocalyptic number.

1386837720 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 1386837720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365228800).

1386837720 is an abundant number, since it is smaller than the sum of its proper divisors (3343619880).

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

1386837720 is a wasteful number, since it uses less digits than its factorization.

1386837720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29926 (or 29916 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1386837720 is about 37240.2701386550. The cubic root of 1386837720 is about 1115.1720648480.

The spelling of 1386837720 in words is "one billion, three hundred eighty-six million, eight hundred thirty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1161 1290 1548 1720 1935 2322 2580 3096 3870 4644 5160 5805 7740 9288 11610 15480 23220 29863 46440 59726 89589 119452 149315 179178 238904 268767 298630 358356 447945 537534 597260 716712 806301 895890 1075068 1194520 1284109 1343835 1612602 1791780 2150136 2568218 2687670 3225204 3583560 3852327 4031505 5136436 5375340 6420545 6450408 7704654 8063010 10272872 10750680 11556981 12841090 15409308 16126020 19261635 23113962 25682180 30818616 32252040 34670943 38523270 46227924 51364360 57784905 69341886 77046540 92455848 115569810 138683772 154093080 173354715 231139620 277367544 346709430 462279240 693418860 1386837720