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270814840 = 23537414463
BaseRepresentation
bin10000001001000…
…100111001111000
3200212120211010021
4100021010321320
51023312033330
642512300224
76465613432
oct2011047170
9625524107
10270814840
1112996021a
1276841674
134414c98a
1427d77652
1518b9667a
hex10244e78

270814840 has 64 divisors (see below), whose sum is σ = 641208960. Its totient is φ = 102804480.

The previous prime is 270814837. The next prime is 270814849. The reversal of 270814840 is 48418072.

270814840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 270814796 and 270814805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270814849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58449 + ... + 62911.

It is an arithmetic number, because the mean of its divisors is an integer number (10018890).

Almost surely, 2270814840 is an apocalyptic number.

270814840 is a gapful number since it is divisible by the number (20) 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 270814840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

270814840 is an abundant number, since it is smaller than the sum of its proper divisors (370394120).

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

270814840 is a wasteful number, since it uses less digits than its factorization.

270814840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 270814840 is about 16456.4528377169. The cubic root of 270814840 is about 646.9799464572.

The spelling of 270814840 in words is "two hundred seventy million, eight hundred fourteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 41 74 82 148 164 185 205 296 328 370 410 740 820 1480 1517 1640 3034 4463 6068 7585 8926 12136 15170 17852 22315 30340 35704 44630 60680 89260 165131 178520 182983 330262 365966 660524 731932 825655 914915 1321048 1463864 1651310 1829830 3302620 3659660 6605240 6770371 7319320 13540742 27081484 33851855 54162968 67703710 135407420 270814840