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272470830 = 235194189131
BaseRepresentation
bin10000001111011…
…001001100101110
3200222200221201020
4100033121030232
51024223031310
643011555010
76515651412
oct2017311456
9628627636
10272470830
1112a891405
12772bba66
13445ac658
1428288d42
1518dc2170
hex103d932e

272470830 has 128 divisors (see below), whose sum is σ = 718502400. Its totient is φ = 65894400.

The previous prime is 272470829. The next prime is 272470837. The reversal of 272470830 is 38074272.

It is a junction number, because it is equal to n+sod(n) for n = 272470791 and 272470800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272470837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2079865 + ... + 2079995.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 2272470830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272470830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359251200).

272470830 is an abundant number, since it is smaller than the sum of its proper divisors (446031570).

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

272470830 is a wasteful number, since it uses less digits than its factorization.

272470830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290.

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 272470830 is about 16506.6904617491. The cubic root of 272470830 is about 648.2959943662.

The spelling of 272470830 in words is "two hundred seventy-two million, four hundred seventy thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 41 57 82 89 95 114 123 131 178 190 205 246 262 267 285 393 410 445 534 570 615 655 779 786 890 1230 1310 1335 1558 1691 1965 2337 2489 2670 3382 3649 3895 3930 4674 4978 5073 5371 7298 7467 7790 8455 10146 10742 10947 11659 11685 12445 14934 16113 16910 18245 21894 23318 23370 24890 25365 26855 32226 34977 36490 37335 50730 53710 54735 58295 69331 69954 74670 80565 102049 109470 116590 138662 161130 174885 204098 207993 221521 306147 346655 349770 415986 443042 478019 510245 612294 664563 693310 956038 1020490 1039965 1107605 1329126 1434057 1530735 2079930 2215210 2390095 2868114 3061470 3322815 4780190 6645630 7170285 9082361 14340570 18164722 27247083 45411805 54494166 90823610 136235415 272470830