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1381699584 = 21232371013
BaseRepresentation
bin101001001011011…
…0001000000000000
310120021220121111200
41102112301000000
510312203341314
6345034341200
746145152446
oct12226610000
93507817450
101381699584
11649a2a391
1232688a800
13190341b25
14d170ab96
158147c709
hex525b1000

1381699584 has 156 divisors (see below), whose sum is σ = 4103002956. Its totient is φ = 447676416.

The previous prime is 1381699511. The next prime is 1381699597. The reversal of 1381699584 is 4859961831.

It can be written as a sum of positive squares in 2 ways, for example, as 496041984 + 885657600 = 22272^2 + 29760^2 .

Its product of digits (1866240) is a multiple of the sum of its prime factors (1080).

It is a self number, because there is not a number n which added to its sum of digits gives 1381699584.

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, 1363462 + ... + 1364474.

It is an arithmetic number, because the mean of its divisors is an integer number (26301301).

Almost surely, 21381699584 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 1381699584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051501478).

1381699584 is an abundant number, since it is smaller than the sum of its proper divisors (2721303372).

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

1381699584 is a wasteful number, since it uses less digits than its factorization.

1381699584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1055 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 1381699584 is about 37171.2198347055. The cubic root of 1381699584 is about 1113.7931492161.

The spelling of 1381699584 in words is "one billion, three hundred eighty-one million, six hundred ninety-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1013 1024 1152 1184 1332 1536 1776 2026 2048 2304 2368 2664 3039 3072 3552 4052 4096 4608 4736 5328 6078 6144 7104 8104 9117 9216 9472 10656 12156 12288 14208 16208 18234 18432 18944 21312 24312 28416 32416 36468 36864 37481 37888 42624 48624 56832 64832 72936 74962 75776 85248 97248 112443 113664 129664 145872 149924 151552 170496 194496 224886 227328 259328 291744 299848 337329 340992 388992 449772 454656 518656 583488 599696 674658 681984 777984 899544 1037312 1166976 1199392 1349316 1363968 1555968 1799088 2074624 2333952 2398784 2698632 3111936 3598176 4149248 4667904 4797568 5397264 6223872 7196352 9335808 9595136 10794528 12447744 14392704 18671616 19190272 21589056 28785408 37343232 38380544 43178112 57570816 76761088 86356224 115141632 153522176 172712448 230283264 345424896 460566528 690849792 1381699584