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275042100 = 223521973661
BaseRepresentation
bin10000011001001…
…100111100110100
3201011112120211110
4100121030330310
51030402321400
643143035020
76546551004
oct2031147464
9634476743
10275042100
11131288223
127813ba70
1344c9cb08
1428758004
151922de50
hex1064cf34

275042100 has 144 divisors (see below), whose sum is σ = 850431680. Its totient is φ = 68428800.

The previous prime is 275042083. The next prime is 275042111. The reversal of 275042100 is 1240572.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415770 + ... + 416430.

Almost surely, 2275042100 is an apocalyptic number.

275042100 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 275042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425215840).

275042100 is an abundant number, since it is smaller than the sum of its proper divisors (575389580).

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

275042100 is a wasteful number, since it uses less digits than its factorization.

275042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 275042100 is about 16584.3932659594. The cubic root of 275042100 is about 650.3289065202.

Adding to 275042100 its reverse (1240572), we get a palindrome (276282672).

It can be divided in two parts, 2750 and 42100, that added together give a triangular number (44850 = T299).

The spelling of 275042100 in words is "two hundred seventy-five million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 73 75 76 95 100 114 146 150 190 219 228 285 292 300 365 380 438 475 570 661 730 876 950 1095 1140 1322 1387 1425 1460 1825 1900 1983 2190 2644 2774 2850 3305 3650 3966 4161 4380 5475 5548 5700 6610 6935 7300 7932 8322 9915 10950 12559 13220 13870 16525 16644 19830 20805 21900 25118 27740 33050 34675 37677 39660 41610 48253 49575 50236 62795 66100 69350 75354 83220 96506 99150 104025 125590 138700 144759 150708 188385 193012 198300 208050 241265 251180 289518 313975 376770 416100 482530 579036 627950 723795 753540 916807 941925 965060 1206325 1255900 1447590 1833614 1883850 2412650 2750421 2895180 3618975 3667228 3767700 4584035 4825300 5500842 7237950 9168070 11001684 13752105 14475900 18336140 22920175 27504210 45840350 55008420 68760525 91680700 137521050 275042100