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1393270368 = 25375935141
BaseRepresentation
bin101001100001011…
…1001111001100000
310121002200110122020
41103002321321200
510323134122433
6350130341440
746345413510
oct12302717140
93532613566
101393270368
11655512716
1232a72a880
13192863649
14d307d840
15824b5cb3
hex530b9e60

1393270368 has 96 divisors (see below), whose sum is σ = 4250776320. Its totient is φ = 391319040.

The previous prime is 1393270357. The next prime is 1393270423. The reversal of 1393270368 is 8630723931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22078 + ... + 57218.

It is an arithmetic number, because the mean of its divisors is an integer number (44278920).

Almost surely, 21393270368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1393270368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125388160).

1393270368 is an abundant number, since it is smaller than the sum of its proper divisors (2857505952).

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

1393270368 is a wasteful number, since it uses less digits than its factorization.

1393270368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35220 (or 35212 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 1393270368 is about 37326.5370480574. The cubic root of 1393270368 is about 1116.8935944937.

The spelling of 1393270368 in words is "one billion, three hundred ninety-three million, two hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2832 3304 4956 5664 6608 9912 13216 19824 35141 39648 70282 105423 140564 210846 245987 281128 421692 491974 562256 737961 843384 983948 1124512 1475922 1686768 1967896 2073319 2951844 3373536 3935792 4146638 5903688 6219957 7871584 8293276 11807376 12439914 14513233 16586552 23614752 24879828 29026466 33173104 43539699 49759656 58052932 66346208 87079398 99519312 116105864 174158796 199038624 232211728 348317592 464423456 696635184 1393270368