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675744420 = 2235137971087
BaseRepresentation
bin101000010001110…
…000101010100100
31202002112101002010
4220101300222210
52340442310140
6151015314220
722513506231
oct5021605244
91662471063
10675744420
1131749286a
1216a37b970
13a9cc8c90
1465a62788
153e4d0880
hex28470aa4

675744420 has 96 divisors (see below), whose sum is σ = 2042062848. Its totient is φ = 165975552.

The previous prime is 675744413. The next prime is 675744449. The reversal of 675744420 is 24447576.

It is a super-2 number, since 2×6757444202 = 913261042322272800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621117 + ... + 622203.

It is an arithmetic number, because the mean of its divisors is an integer number (21271488).

Almost surely, 2675744420 is an apocalyptic number.

675744420 is a gapful number since it is divisible by the number (60) 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 675744420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021031424).

675744420 is an abundant number, since it is smaller than the sum of its proper divisors (1366318428).

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

675744420 is a wasteful number, since it uses less digits than its factorization.

675744420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The square root of 675744420 is about 25995.0845353501. The cubic root of 675744420 is about 877.5276766621.

The spelling of 675744420 in words is "six hundred seventy-five million, seven hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 797 1087 1594 2174 2391 3188 3261 3985 4348 4782 5435 6522 7970 9564 10361 10870 11955 13044 14131 15940 16305 20722 21740 23910 28262 31083 32610 41444 42393 47820 51805 56524 62166 65220 70655 84786 103610 124332 141310 155415 169572 207220 211965 282620 310830 423930 621660 847860 866339 1732678 2599017 3465356 4331695 5198034 8663390 10396068 11262407 12995085 17326780 22524814 25990170 33787221 45049628 51980340 56312035 67574442 112624070 135148884 168936105 225248140 337872210 675744420