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1339630740 = 2232573672897
BaseRepresentation
bin100111111011001…
…0010010010010100
310110100202021220100
41033312102102110
510220421140430
6340532534100
745124446660
oct11766222224
93410667810
101339630740
11628206448
12314781330
13184702716
14c9cb98a0
157c91c960
hex4fd92494

1339630740 has 144 divisors (see below), whose sum is σ = 4658314752. Its totient is φ = 305261568.

The previous prime is 1339630717. The next prime is 1339630781. The reversal of 1339630740 is 470369331.

1339630740 is a `hidden beast` number, since 13 + 3 + 9 + 630 + 7 + 4 + 0 = 666.

It is a super-2 number, since 2×13396307402 = 3589221039105895200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1339630695 and 1339630704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460972 + ... + 463868.

It is an arithmetic number, because the mean of its divisors is an integer number (32349408).

Almost surely, 21339630740 is an apocalyptic number.

1339630740 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 1339630740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329157376).

1339630740 is an abundant number, since it is smaller than the sum of its proper divisors (3318684012).

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

1339630740 is a wasteful number, since it uses less digits than its factorization.

1339630740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 1339630740 is about 36600.9663806845. The cubic root of 1339630740 is about 1102.3724936226.

The spelling of 1339630740 in words is "one billion, three hundred thirty-nine million, six hundred thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 367 420 630 734 1101 1260 1468 1835 2202 2569 2897 3303 3670 4404 5138 5505 5794 6606 7340 7707 8691 10276 11010 11588 12845 13212 14485 15414 16515 17382 20279 22020 23121 25690 26073 28970 30828 33030 34764 38535 40558 43455 46242 51380 52146 57940 60837 66060 77070 81116 86910 92484 101395 104292 115605 121674 130365 154140 173820 182511 202790 231210 243348 260730 304185 365022 405580 462420 521460 608370 730044 912555 1063199 1216740 1825110 2126398 3189597 3650220 4252796 5315995 6379194 7442393 9568791 10631990 12758388 14884786 15947985 19137582 21263980 22327179 29769572 31895970 37211965 38275164 44654358 47843955 63791940 66981537 74423930 89308716 95687910 111635895 133963074 148847860 191375820 223271790 267926148 334907685 446543580 669815370 1339630740