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97338150 = 232527132377
BaseRepresentation
bin1011100110101…
…00001100100110
320210011021211200
411303110030212
5144404310100
613354143330
72261234460
oct563241446
9223137750
1097338150
114aa43658
1228721b46
1317221050
14ccdb130
15882ae00
hex5cd4326

97338150 has 144 divisors (see below), whose sum is σ = 322000224. Its totient is φ = 20528640.

The previous prime is 97338149. The next prime is 97338161. The reversal of 97338150 is 5183379.

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 71 ways as a sum of consecutive naturals, for example, 39762 + ... + 42138.

Almost surely, 297338150 is an apocalyptic number.

97338150 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 97338150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161000112).

97338150 is an abundant number, since it is smaller than the sum of its proper divisors (224662074).

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

97338150 is a wasteful number, since it uses less digits than its factorization.

97338150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 97338150 is about 9866.0098317405. The cubic root of 97338150 is about 460.0033868686.

The spelling of 97338150 in words is "ninety-seven million, three hundred thirty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 126 130 150 175 182 195 210 225 234 273 315 325 350 390 450 455 525 546 585 630 650 819 910 975 1050 1170 1365 1575 1638 1950 2275 2377 2730 2925 3150 4095 4550 4754 5850 6825 7131 8190 11885 13650 14262 16639 20475 21393 23770 30901 33278 35655 40950 42786 49917 59425 61802 71310 83195 92703 99834 106965 118850 149751 154505 166390 178275 185406 213930 216307 249585 278109 299502 309010 356550 415975 432614 463515 499170 534825 556218 648921 748755 772525 831950 927030 1069650 1081535 1247925 1297842 1390545 1497510 1545050 1946763 2163070 2317575 2495850 2781090 3244605 3743775 3893526 4635150 5407675 6489210 6952725 7487550 9733815 10815350 13905450 16223025 19467630 32446050 48669075 97338150