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213378704 = 247113137151
BaseRepresentation
bin11001011011111…
…10011010010000
3112212111202112222
430231332122100
5414111104304
633101240212
75200455230
oct1455763220
9485452488
10213378704
11aa4a0640
125b563068
133528c9b6
14204a5cc0
1513aed4be
hexcb7e690

213378704 has 160 divisors (see below), whose sum is σ = 550060032. Its totient is φ = 77760000.

The previous prime is 213378661. The next prime is 213378707. The reversal of 213378704 is 407873312.

It is not an unprimeable number, because it can be changed into a prime (213378707) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1413029 + ... + 1413179.

Almost surely, 2213378704 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 213378704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275030016).

213378704 is an abundant number, since it is smaller than the sum of its proper divisors (336681328).

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

213378704 is a wasteful number, since it uses less digits than its factorization.

213378704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 213378704 is about 14607.4879428326. The cubic root of 213378704 is about 597.5629891053.

The spelling of 213378704 in words is "two hundred thirteen million, three hundred seventy-eight thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 37 44 56 62 74 77 88 112 124 148 151 154 176 217 248 259 296 302 308 341 407 434 496 518 592 604 616 682 814 868 1036 1057 1147 1208 1232 1364 1628 1661 1736 2072 2114 2294 2387 2416 2728 2849 3256 3322 3472 4144 4228 4588 4681 4774 5456 5587 5698 6512 6644 8029 8456 9176 9362 9548 11174 11396 11627 12617 13288 16058 16912 18352 18724 19096 22348 22792 23254 25234 26576 32116 32767 37448 38192 39109 44696 45584 46508 50468 51491 61457 64232 65534 74896 78218 88319 89392 93016 100936 102982 122914 128464 131068 156436 173197 176638 186032 201872 205964 245828 262136 312872 346394 353276 360437 411928 430199 491656 524272 625744 692788 706552 720874 823856 860398 983312 1212379 1385576 1413104 1441748 1720796 1905167 2424758 2771152 2883496 3441592 3810334 4849516 5766992 6883184 7620668 9699032 13336169 15241336 19398064 26672338 30482672 53344676 106689352 213378704