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675355400 = 235261197281
BaseRepresentation
bin101000010000010…
…001101100001000
31202001210121102222
4220100101230020
52340342333100
6151003113212
722510266116
oct5020215410
91661717388
10675355400
11317247565
1216a212808
13a9bc0ba5
14659a0ab6
153e455485
hex28411b08

675355400 has 96 divisors (see below), whose sum is σ = 1609751880. Its totient is φ = 263424000.

The previous prime is 675355397. The next prime is 675355411. The reversal of 675355400 is 4553576.

It can be written as a sum of positive squares in 12 ways, for example, as 83795716 + 591559684 = 9154^2 + 24322^2 .

It is a super-2 number, since 2×6753554002 = 912209832618320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2403260 + ... + 2403540.

Almost surely, 2675355400 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 675355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804875940).

675355400 is an abundant number, since it is smaller than the sum of its proper divisors (934396480).

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

675355400 is a wasteful number, since it uses less digits than its factorization.

675355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 35.

The square root of 675355400 is about 25987.6008896551. The cubic root of 675355400 is about 877.3592494005.

The spelling of 675355400 in words is "six hundred seventy-five million, three hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 197 200 244 281 305 394 488 562 610 788 985 1124 1220 1405 1525 1576 1970 2248 2440 2810 3050 3940 4925 5620 6100 7025 7880 9850 11240 12017 12200 14050 17141 19700 24034 28100 34282 39400 48068 55357 56200 60085 68564 85705 96136 110714 120170 137128 171410 221428 240340 276785 300425 342820 428525 442856 480680 553570 600850 685640 857050 1107140 1201700 1383925 1714100 2214280 2403400 2767850 3376777 3428200 5535700 6753554 11071400 13507108 16883885 27014216 33767770 67535540 84419425 135071080 168838850 337677700 675355400