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1864003216 = 241731435397
BaseRepresentation
bin110111100011010…
…0110111010010000
311210220110011201011
41233012212322100
512304141100331
6504544020304
764122523465
oct15706467220
94726404634
101864003216
118771aa229
12440301694
1323923c1aa
141397b766c
15ad99c3b1
hex6f1a6e90

1864003216 has 160 divisors (see below), whose sum is σ = 4157733888. Its totient is φ = 805109760.

The previous prime is 1864003201. The next prime is 1864003241. The reversal of 1864003216 is 6123004681.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 19216480 + ... + 19216576.

Almost surely, 21864003216 is an apocalyptic number.

1864003216 is a gapful number since it is divisible by the number (16) 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 1864003216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078866944).

1864003216 is an abundant number, since it is smaller than the sum of its proper divisors (2293730672).

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

1864003216 is a wasteful number, since it uses less digits than its factorization.

1864003216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1864003216 is about 43174.1035344105. The cubic root of 1864003216 is about 1230.6906065111.

Adding to 1864003216 its reverse (6123004681), we get a palindrome (7987007897).

The spelling of 1864003216 in words is "one billion, eight hundred sixty-four million, three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 31 34 43 53 62 68 86 97 106 124 136 172 194 212 248 272 344 388 424 496 527 688 731 776 848 901 1054 1333 1462 1552 1643 1649 1802 2108 2279 2666 2924 3007 3286 3298 3604 4171 4216 4558 5141 5332 5848 6014 6572 6596 7208 8342 8432 9116 10282 10664 11696 12028 13144 13192 14416 16684 18232 20564 21328 22661 24056 26288 26384 27931 33368 36464 38743 41128 45322 48112 51119 55862 66736 70649 70907 77486 82256 87397 90644 102238 111724 129301 141298 141814 154972 159371 174794 181288 204476 221063 223448 258602 282596 283628 309944 318742 349588 362576 408952 442126 446896 517204 565192 567256 619888 637484 699176 817904 884252 1034408 1130384 1134512 1201033 1274968 1398352 1768504 2068816 2198117 2402066 2549936 2709307 3537008 3758071 4396234 4804132 5418614 6852953 7516142 8792468 9608264 10837228 13705906 15032284 17584936 19216528 21674456 27411812 30064568 35169872 43348912 54823624 60129136 109647248 116500201 233000402 466000804 932001608 1864003216