[go: up one dir, main page]

Search a number
-
+
97760250 = 2335372069
BaseRepresentation
bin1011101001110…
…11001111111010
320210221201212000
411310323033322
5200011312000
613411201430
72264643210
oct564731772
9223851760
1097760250
11502017a5
12288a6276
131733b203
14cdaacb0
1588b1000
hex5d3b3fa

97760250 has 128 divisors (see below), whose sum is σ = 310003200. Its totient is φ = 22334400.

The previous prime is 97760239. The next prime is 97760261. The reversal of 97760250 is 5206779.

It is an interprime number because it is at equal distance from previous prime (97760239) and next prime (97760261).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46216 + ... + 48284.

It is an arithmetic number, because the mean of its divisors is an integer number (2421900).

Almost surely, 297760250 is an apocalyptic number.

97760250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97760250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155001600).

97760250 is an abundant number, since it is smaller than the sum of its proper divisors (212242950).

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

97760250 is a wasteful number, since it uses less digits than its factorization.

97760250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 97760250 is about 9887.3783178353. The cubic root of 97760250 is about 460.6673520914.

The spelling of 97760250 in words is "ninety-seven million, seven hundred sixty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 125 126 135 150 175 189 210 225 250 270 315 350 375 378 450 525 630 675 750 875 945 1050 1125 1350 1575 1750 1890 2069 2250 2625 3150 3375 4138 4725 5250 6207 6750 7875 9450 10345 12414 14483 15750 18621 20690 23625 28966 31035 37242 43449 47250 51725 55863 62070 72415 86898 93105 103450 111726 130347 144830 155175 186210 217245 258625 260694 279315 310350 362075 391041 434490 465525 517250 558630 651735 724150 775875 782082 931050 1086225 1303470 1396575 1551750 1810375 1955205 2172450 2327625 2793150 3258675 3620750 3910410 4655250 5431125 6517350 6982875 9776025 10862250 13965750 16293375 19552050 32586750 48880125 97760250