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1359090840 = 2335173121491
BaseRepresentation
bin101000100000010…
…0001010010011000
310111201100222010210
41101000201102120
510240411401330
6342510011120
745452036652
oct12100412230
93451328123
101359090840
11638198078
1231b1a6aa0
13188757183
14cc7036d2
157e4b38b0
hex51021498

1359090840 has 128 divisors (see below), whose sum is σ = 4456581120. Its totient is φ = 330086400.

The previous prime is 1359090839. The next prime is 1359090851. The reversal of 1359090840 is 480909531.

It is a super-2 number, since 2×13590908402 = 3694255822743811200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52495 + ... + 73985.

It is an arithmetic number, because the mean of its divisors is an integer number (34817040).

Almost surely, 21359090840 is an apocalyptic number.

1359090840 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 1359090840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228290560).

1359090840 is an abundant number, since it is smaller than the sum of its proper divisors (3097490280).

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

1359090840 is a wasteful number, since it uses less digits than its factorization.

1359090840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21553 (or 21549 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1359090840 is about 36865.8492374718. The cubic root of 1359090840 is about 1107.6847122135.

The spelling of 1359090840 in words is "one billion, three hundred fifty-nine million, ninety thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 85 93 102 120 124 136 155 170 186 204 248 255 310 340 372 408 465 510 527 620 680 744 930 1020 1054 1240 1581 1860 2040 2108 2635 3162 3720 4216 5270 6324 7905 10540 12648 15810 21080 21491 31620 42982 63240 64473 85964 107455 128946 171928 214910 257892 322365 365347 429820 515784 644730 666221 730694 859640 1096041 1289460 1332442 1461388 1826735 1998663 2192082 2578920 2664884 2922776 3331105 3653470 3997326 4384164 5329768 5480205 6662210 7306940 7994652 8768328 9993315 10960410 11325757 13324420 14613880 15989304 19986630 21920820 22651514 26648840 33977271 39973260 43841640 45303028 56628785 67954542 79946520 90606056 113257570 135909084 169886355 226515140 271818168 339772710 453030280 679545420 1359090840