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1388061420 = 2235733111019
BaseRepresentation
bin101001010111100…
…0010001011101100
310120201212211022020
41102233002023230
510320320431140
6345422550140
746253220204
oct12257021354
93521784266
101388061420
116525850a9
12328a38350
1319175b725
14d24c5404
1581cd76d0
hex52bc22ec

1388061420 has 96 divisors (see below), whose sum is σ = 3956359680. Its totient is φ = 363548160.

The previous prime is 1388061403. The next prime is 1388061421. The reversal of 1388061420 is 241608831.

It is not an unprimeable number, because it can be changed into a prime (1388061421) 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, 1361671 + ... + 1362689.

It is an arithmetic number, because the mean of its divisors is an integer number (41212080).

Almost surely, 21388061420 is an apocalyptic number.

1388061420 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 1388061420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978179840).

1388061420 is an abundant number, since it is smaller than the sum of its proper divisors (2568298260).

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

1388061420 is a wasteful number, since it uses less digits than its factorization.

1388061420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1388061420 is about 37256.6963108647. The cubic root of 1388061420 is about 1115.4999654770.

The spelling of 1388061420 in words is "one billion, three hundred eighty-eight million, sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 311 365 438 622 730 876 933 1019 1095 1244 1460 1555 1866 2038 2190 3057 3110 3732 4076 4380 4665 5095 6114 6220 9330 10190 12228 15285 18660 20380 22703 30570 45406 61140 68109 74387 90812 113515 136218 148774 223161 227030 272436 297548 316909 340545 371935 446322 454060 633818 681090 743870 892644 950727 1115805 1267636 1362180 1487740 1584545 1901454 2231610 3169090 3802908 4463220 4753635 6338180 9507270 19014540 23134357 46268714 69403071 92537428 115671785 138806142 231343570 277612284 347015355 462687140 694030710 1388061420