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1390737240 = 233253899931
BaseRepresentation
bin101001011100100…
…1111011101011000
310120220220202211200
41102321033131120
510322012042430
6350000154200
746315033344
oct12271173530
93526822750
101390737240
11654042522
12329908960
13192187659
14d29c0624
1582165460
hex52e4f758

1390737240 has 96 divisors (see below), whose sum is σ = 4531971600. Its totient is φ = 369872640.

The previous prime is 1390737239. The next prime is 1390737259. The reversal of 1390737240 is 427370931.

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 = 1390737195 and 1390737204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135075 + ... + 145005.

Almost surely, 21390737240 is an apocalyptic number.

1390737240 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 1390737240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265985800).

1390737240 is an abundant number, since it is smaller than the sum of its proper divisors (3141234360).

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

1390737240 is a wasteful number, since it uses less digits than its factorization.

1390737240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337 (or 10330 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1390737240 is about 37292.5896124150. The cubic root of 1390737240 is about 1116.2163029303.

The spelling of 1390737240 in words is "one billion, three hundred ninety million, seven hundred thirty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 389 778 1167 1556 1945 2334 3112 3501 3890 4668 5835 7002 7780 9336 9931 11670 14004 15560 17505 19862 23340 28008 29793 35010 39724 46680 49655 59586 70020 79448 89379 99310 119172 140040 148965 178758 198620 238344 297930 357516 397240 446895 595860 715032 893790 1191720 1787580 3575160 3863159 7726318 11589477 15452636 19315795 23178954 30905272 34768431 38631590 46357908 57947385 69536862 77263180 92715816 115894770 139073724 154526360 173842155 231789540 278147448 347684310 463579080 695368620 1390737240