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1405342840 = 2351131197523
BaseRepresentation
bin101001111000011…
…1101010001111000
310121221101210221211
41103300331101320
510334231432330
6351241212504
746553134306
oct12360752170
93557353854
101405342840
11661308970
12332791134
131951cc615
14d4903276
158359cd2a
hex53c3d478

1405342840 has 128 divisors (see below), whose sum is σ = 3585669120. Its totient is φ = 491097600.

The previous prime is 1405342823. The next prime is 1405342853. The reversal of 1405342840 is 482435041.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2686819 + ... + 2687341.

It is an arithmetic number, because the mean of its divisors is an integer number (28013040).

Almost surely, 21405342840 is an apocalyptic number.

1405342840 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 1405342840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792834560).

1405342840 is an abundant number, since it is smaller than the sum of its proper divisors (2180326280).

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

1405342840 is a wasteful number, since it uses less digits than its factorization.

1405342840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 1405342840 is about 37487.9025820330. The cubic root of 1405342840 is about 1120.1102251212.

Adding to 1405342840 its reverse (482435041), we get a palindrome (1887777881).

The spelling of 1405342840 in words is "one billion, four hundred five million, three hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 197 220 248 310 341 394 440 523 620 682 788 985 1046 1240 1364 1576 1705 1970 2092 2167 2615 2728 3410 3940 4184 4334 5230 5753 6107 6820 7880 8668 10460 10835 11506 12214 13640 16213 17336 20920 21670 23012 24428 28765 30535 32426 43340 46024 48856 57530 61070 64852 67177 81065 86680 103031 115060 122140 129704 134354 162130 178343 206062 230120 244280 268708 324260 335885 356686 412124 515155 537416 648520 671770 713372 824248 891715 1030310 1133341 1343540 1426744 1783430 2060620 2266682 2687080 3193961 3566860 4121240 4533364 5666705 6387922 7133720 9066728 11333410 12775844 15969805 22666820 25551688 31939610 35133571 45333640 63879220 70267142 127758440 140534284 175667855 281068568 351335710 702671420 1405342840