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5406653400 = 2335218234943
BaseRepresentation
bin1010000100100001…
…01111101111011000
3111221210120110011020
411002100233233120
542033100402100
62252255202440
7250660536621
oct50220575730
914853513136
105406653400
112324a077a5
12106a816420
1368218c6c5
143940b8a48
152199d15a0
hex14242fbd8

5406653400 has 96 divisors (see below), whose sum is σ = 16773212160. Its totient is φ = 1440691840.

The previous prime is 5406653383. The next prime is 5406653407. The reversal of 5406653400 is 43566045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406653407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091329 + ... + 1096271.

It is an arithmetic number, because the mean of its divisors is an integer number (174720960).

Almost surely, 25406653400 is an apocalyptic number.

5406653400 is a gapful number since it is divisible by the number (50) 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 5406653400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386606080).

5406653400 is an abundant number, since it is smaller than the sum of its proper divisors (11366558760).

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

5406653400 is a wasteful number, since it uses less digits than its factorization.

5406653400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6785 (or 6776 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 5406653400 is about 73529.9490003903. The cubic root of 5406653400 is about 1755.1308901493.

The spelling of 5406653400 in words is "five billion, four hundred six million, six hundred fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1823 3646 4943 5469 7292 9115 9886 10938 14584 14829 18230 19772 21876 24715 27345 29658 36460 39544 43752 45575 49430 54690 59316 72920 74145 91150 98860 109380 118632 123575 136725 148290 182300 197720 218760 247150 273450 296580 364600 370725 494300 546900 593160 741450 988600 1093800 1482900 2965800 9011089 18022178 27033267 36044356 45055445 54066534 72088712 90110890 108133068 135166335 180221780 216266136 225277225 270332670 360443560 450554450 540665340 675831675 901108900 1081330680 1351663350 1802217800 2703326700 5406653400