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1355640 = 2335111379
BaseRepresentation
bin101001010111101111000
32112212120220
411022331320
5321340030
645020040
714344206
oct5127570
92485526
101355640
11846570
12554620
13386070
14274076
151bba10
hex14af78

1355640 has 128 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 299520.

The previous prime is 1355623. The next prime is 1355647. The reversal of 1355640 is 465531.

It is a super-4 number, since 4×13556404 (a number of 26 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1355640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17121 + ... + 17199.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

21355640 is an apocalyptic number.

1355640 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 1355640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

1355640 is an abundant number, since it is smaller than the sum of its proper divisors (3482760).

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

1355640 is a wasteful number, since it uses less digits than its factorization.

1355640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1355640 is about 1164.3195437679. The cubic root of 1355640 is about 110.6746417697.

It can be divided in two parts, 135 and 5640, that added together give a palindrome (5775).

The spelling of 1355640 in words is "one million, three hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 79 88 104 110 120 130 132 143 156 158 165 195 220 237 260 264 286 312 316 330 390 395 429 440 474 520 572 632 660 715 780 790 858 869 948 1027 1144 1185 1320 1430 1560 1580 1716 1738 1896 2054 2145 2370 2607 2860 3081 3160 3432 3476 4108 4290 4345 4740 5135 5214 5720 6162 6952 8216 8580 8690 9480 10270 10428 11297 12324 13035 15405 17160 17380 20540 20856 22594 24648 26070 30810 33891 34760 41080 45188 52140 56485 61620 67782 90376 104280 112970 123240 135564 169455 225940 271128 338910 451880 677820 1355640