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1036874916 = 22327111919687
BaseRepresentation
bin111101110011010…
…111010010100100
32200021001200222200
4331303113102210
54110414444131
6250515454500
734460201640
oct7563272244
92607050880
101036874916
1149231a520
1224b2b7430
13136a7b46c
149b9c9c20
15610672e6
hex3dcd74a4

1036874916 has 144 divisors (see below), whose sum is σ = 3439887360. Its totient is φ = 255130560.

The previous prime is 1036874911. The next prime is 1036874957. The reversal of 1036874916 is 6194786301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1036874911) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 42825 + ... + 62511.

Almost surely, 21036874916 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 1036874916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719943680).

1036874916 is an abundant number, since it is smaller than the sum of its proper divisors (2403012444).

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

1036874916 is a wasteful number, since it uses less digits than its factorization.

1036874916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19734 (or 19729 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1036874916 is about 32200.5421693486. The cubic root of 1036874916 is about 1012.1435753219.

The spelling of 1036874916 in words is "one billion, thirty-six million, eight hundred seventy-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 836 924 1197 1254 1386 1463 1596 1881 2394 2508 2772 2926 3762 4389 4788 5852 7524 8778 13167 17556 19687 26334 39374 52668 59061 78748 118122 137809 177183 216557 236244 275618 354366 374053 413427 433114 551236 649671 708732 748106 826854 866228 1122159 1240281 1299342 1496212 1515899 1653708 1949013 2244318 2480562 2598684 2618371 3031798 3366477 3898026 4114583 4488636 4547697 4961124 5236742 6063596 6732954 7796052 7855113 8229166 9095394 10473484 12343749 13465908 13643091 15710226 16458332 18190788 23565339 24687498 27286182 28802081 31420452 37031247 47130678 49374996 54572364 57604162 74062494 86406243 94261356 115208324 148124988 172812486 259218729 345624972 518437458 1036874916