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1385386240 = 2857154619
BaseRepresentation
bin101001010010011…
…0101000100000000
310120112211220122111
41102210311010000
510314124324430
6345245345104
746221405640
oct12244650400
93515756574
101385386240
11651018207
12327b68194
13191032b94
14d1dca520
1581959c2a
hex52935100

1385386240 has 72 divisors (see below), whose sum is σ = 3792519360. Its totient is φ = 474986496.

The previous prime is 1385386229. The next prime is 1385386243. The reversal of 1385386240 is 426835831.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 1385386193 and 1385386202.

It is not an unprimeable number, because it can be changed into a prime (1385386243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68350 + ... + 86269.

It is an arithmetic number, because the mean of its divisors is an integer number (52673880).

Almost surely, 21385386240 is an apocalyptic number.

1385386240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1385386240 is an abundant number, since it is smaller than the sum of its proper divisors (2407133120).

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

1385386240 is an equidigital number, since it uses as much as digits as its factorization.

1385386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154647 (or 154633 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 1385386240 is about 37220.7769935019. The cubic root of 1385386240 is about 1114.7828784870.

The spelling of 1385386240 in words is "one billion, three hundred eighty-five million, three hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 154619 309238 618476 773095 1082333 1236952 1546190 2164666 2473904 3092380 4329332 4947808 5411665 6184760 8658664 9895616 10823330 12369520 17317328 19791232 21646660 24739040 34634656 39582464 43293320 49478080 69269312 86586640 98956160 138538624 173173280 197912320 277077248 346346560 692693120 1385386240