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272675840 = 2105192803
BaseRepresentation
bin10000010000001…
…011010000000000
3201000002100221012
4100100023100000
51024301111330
643020220052
76520464203
oct2020132000
9630070835
10272675840
1112aa11438
127739a628
1344651a68
14282dd93a
1518e12c95
hex1040b400

272675840 has 88 divisors (see below), whose sum is σ = 688774560. Its totient is φ = 103292928.

The previous prime is 272675813. The next prime is 272675849. The reversal of 272675840 is 48576272.

It is a super-2 number, since 2×2726758402 = 148704227439411200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272675849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95879 + ... + 98681.

Almost surely, 2272675840 is an apocalyptic number.

272675840 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 272675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344387280).

272675840 is an abundant number, since it is smaller than the sum of its proper divisors (416098720).

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

272675840 is a wasteful number, since it uses less digits than its factorization.

272675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 272675840 is about 16512.8992003222. The cubic root of 272675840 is about 648.4585485769.

The spelling of 272675840 in words is "two hundred seventy-two million, six hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1024 1216 1280 1520 2432 2560 2803 3040 4864 5120 5606 6080 9728 11212 12160 14015 19456 22424 24320 28030 44848 48640 53257 56060 89696 97280 106514 112120 179392 213028 224240 266285 358784 426056 448480 532570 717568 852112 896960 1065140 1435136 1704224 1793920 2130280 2870272 3408448 3587840 4260560 6816896 7175680 8521120 13633792 14351360 17042240 27267584 34084480 54535168 68168960 136337920 272675840