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97143480 = 23325725507
BaseRepresentation
bin1011100101001…
…00101010111000
320202210101210200
411302210222320
5144332042410
613350042200
72256464100
oct562445270
9222711720
1097143480
114a920375
1228649360
1317183565
14cc8a200
1587dd3c0
hex5ca4ab8

97143480 has 144 divisors (see below), whose sum is σ = 367328520. Its totient is φ = 22200192.

The previous prime is 97143469. The next prime is 97143503. The reversal of 97143480 is 8434179.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 14887 + ... + 20393.

Almost surely, 297143480 is an apocalyptic number.

97143480 is a gapful number since it is divisible by the number (90) 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 97143480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183664260).

97143480 is an abundant number, since it is smaller than the sum of its proper divisors (270185040).

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

97143480 is a wasteful number, since it uses less digits than its factorization.

97143480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 97143480 is about 9856.1392035624. The cubic root of 97143480 is about 459.6965232081.

The spelling of 97143480 in words is "ninety-seven million, one hundred forty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5507 5880 8820 11014 16521 17640 22028 27535 33042 38549 44056 49563 55070 66084 77098 82605 99126 110140 115647 132168 154196 165210 192745 198252 220280 231294 247815 269843 308392 330420 346941 385490 396504 462588 495630 539686 578235 660840 693882 770980 809529 925176 991260 1079372 1156470 1349215 1387764 1541960 1619058 1734705 1982520 2158744 2312940 2428587 2698430 2775528 3238116 3469410 4047645 4625880 4857174 5396860 6476232 6938820 8095290 9714348 10793720 12142935 13877640 16190580 19428696 24285870 32381160 48571740 97143480