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270547940 = 225131815749
BaseRepresentation
bin10000001000000…
…011101111100100
3200212002021000002
4100020003233210
51023230013230
642502440432
76463422335
oct2010035744
9625067002
10270547940
11129798743
1276733118
1344088350
1427d0828c
1518b42545
hex10203be4

270547940 has 48 divisors (see below), whose sum is σ = 615342000. Its totient is φ = 99325440.

The previous prime is 270547913. The next prime is 270547951. The reversal of 270547940 is 49745072.

It can be written as a sum of positive squares in 8 ways, for example, as 174821284 + 95726656 = 13222^2 + 9784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 270547894 and 270547903.

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 15 ways as a sum of consecutive naturals, for example, 44186 + ... + 49934.

It is an arithmetic number, because the mean of its divisors is an integer number (12819625).

Almost surely, 2270547940 is an apocalyptic number.

270547940 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 270547940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307671000).

270547940 is an abundant number, since it is smaller than the sum of its proper divisors (344794060).

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

270547940 is a wasteful number, since it uses less digits than its factorization.

270547940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 270547940 is about 16448.3415577377. The cubic root of 270547940 is about 646.7673341469.

The spelling of 270547940 in words is "two hundred seventy million, five hundred forty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 260 362 724 905 1810 2353 3620 4706 5749 9412 11498 11765 22996 23530 28745 47060 57490 74737 114980 149474 298948 373685 747370 1040569 1494740 2081138 4162276 5202845 10405690 13527397 20811380 27054794 54109588 67636985 135273970 270547940