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1385537440 = 25574726321
BaseRepresentation
bin101001010010101…
…1001111110100000
310120120010121001111
41102211121332200
510314144144230
6345252513104
746222605520
oct12245317640
93516117044
101385537440
11651110871
1232801b794
13191086951
14d2029680
158198992a
hex52959fa0

1385537440 has 96 divisors (see below), whose sum is σ = 3820690944. Its totient is φ = 464916480.

The previous prime is 1385537431. The next prime is 1385537449. The reversal of 1385537440 is 447355831.

It is an interprime number because it is at equal distance from previous prime (1385537431) and next prime (1385537449).

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 = 1385537393 and 1385537402.

It is not an unprimeable number, because it can be changed into a prime (1385537449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39480 + ... + 65800.

It is an arithmetic number, because the mean of its divisors is an integer number (39798864).

Almost surely, 21385537440 is an apocalyptic number.

1385537440 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 1385537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910345472).

1385537440 is an abundant number, since it is smaller than the sum of its proper divisors (2435153504).

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

1385537440 is a wasteful number, since it uses less digits than its factorization.

1385537440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26390 (or 26382 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 1385537440 is about 37222.8080617247. The cubic root of 1385537440 is about 1114.8234325301.

The spelling of 1385537440 in words is "one billion, three hundred eighty-five million, five hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 70 80 94 112 140 160 188 224 235 280 329 376 470 560 658 752 940 1120 1316 1504 1645 1880 2632 3290 3760 5264 6580 7520 10528 13160 26320 26321 52640 52642 105284 131605 184247 210568 263210 368494 421136 526420 736988 842272 921235 1052840 1237087 1473976 1842470 2105680 2474174 2947952 3684940 4211360 4948348 5895904 6185435 7369880 8659609 9896696 12370870 14739760 17319218 19793392 24741740 29479520 34638436 39586784 43298045 49483480 69276872 86596090 98966960 138553744 173192180 197933920 277107488 346384360 692768720 1385537440