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1369390720 = 2753757829
BaseRepresentation
bin101000110011111…
…0011111010000000
310112102202020220211
41101213303322000
510301031000340
6343514443504
745635425525
oct12147637200
93472666824
101369390720
11642a92575
12322733594
1318a922389
14cdc2514c
158034a5ea
hex519f3e80

1369390720 has 64 divisors (see below), whose sum is σ = 3362236200. Its totient is φ = 532942848.

The previous prime is 1369390709. The next prime is 1369390727. The reversal of 1369390720 is 270939631.

It can be written as a sum of positive squares in 4 ways, for example, as 1300035136 + 69355584 = 36056^2 + 8328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1369390727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5235 + ... + 52594.

Almost surely, 21369390720 is an apocalyptic number.

1369390720 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 1369390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681118100).

1369390720 is an abundant number, since it is smaller than the sum of its proper divisors (1992845480).

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

1369390720 is an equidigital number, since it uses as much as digits as its factorization.

1369390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57885 (or 57873 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The square root of 1369390720 is about 37005.2796233186. The cubic root of 1369390720 is about 1110.4758720341.

The spelling of 1369390720 in words is "one billion, three hundred sixty-nine million, three hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1480 2368 2960 4736 5920 11840 23680 57829 115658 231316 289145 462632 578290 925264 1156580 1850528 2139673 2313160 3701056 4279346 4626320 7402112 8558692 9252640 10698365 17117384 18505280 21396730 34234768 37010560 42793460 68469536 85586920 136939072 171173840 273878144 342347680 684695360 1369390720