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1395936 = 253237131
BaseRepresentation
bin101010100110011100000
32121220212100
411110303200
5324132221
645530400
714602533
oct5246340
92556770
101395936
11873873
12573a00
1339b4c9
14284a1a
151c8926
hex154ce0

1395936 has 72 divisors (see below), whose sum is σ = 4108104. Its totient is φ = 449280.

The previous prime is 1395923. The next prime is 1395943. The reversal of 1395936 is 6395931.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1395936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10591 + ... + 10721.

It is an arithmetic number, because the mean of its divisors is an integer number (57057).

21395936 is an apocalyptic number.

1395936 is a gapful number since it is divisible by the number (16) 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 1395936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054052).

1395936 is an abundant number, since it is smaller than the sum of its proper divisors (2712168).

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

1395936 is a wasteful number, since it uses less digits than its factorization.

1395936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 1395936 is about 1181.4973550542. The cubic root of 1395936 is about 111.7605428247.

The spelling of 1395936 in words is "one million, three hundred ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 131 144 148 222 262 288 296 333 393 444 524 592 666 786 888 1048 1179 1184 1332 1572 1776 2096 2358 2664 3144 3552 4192 4716 4847 5328 6288 9432 9694 10656 12576 14541 18864 19388 29082 37728 38776 43623 58164 77552 87246 116328 155104 174492 232656 348984 465312 697968 1395936