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675084400 = 245210715773
BaseRepresentation
bin101000001111001…
…111100001110000
31202001021211200221
4220033033201300
52340310200100
6150553222424
722505060044
oct5017174160
91661254627
10675084400
113170819a1
1216a101a14
13a9b27733
1465930024
153e40001a
hex283cf870

675084400 has 60 divisors (see below), whose sum is σ = 1637151912. Its totient is φ = 267493120.

The previous prime is 675084379. The next prime is 675084407. The reversal of 675084400 is 4480576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675084407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34914 + ... + 50686.

Almost surely, 2675084400 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 675084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818575956).

675084400 is an abundant number, since it is smaller than the sum of its proper divisors (962067512).

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

675084400 is a wasteful number, since it uses less digits than its factorization.

675084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15898 (or 15887 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 675084400 is about 25982.3863415199. The cubic root of 675084400 is about 877.2418809916.

The spelling of 675084400 in words is "six hundred seventy-five million, eighty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 400 428 535 856 1070 1712 2140 2675 4280 5350 8560 10700 15773 21400 31546 42800 63092 78865 126184 157730 252368 315460 394325 630920 788650 1261840 1577300 1687711 3154600 3375422 6309200 6750844 8438555 13501688 16877110 27003376 33754220 42192775 67508440 84385550 135016880 168771100 337542200 675084400