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97278240 = 2535414943
BaseRepresentation
bin1011100110001…
…01100100100000
320210001020122210
411303011210200
5144400400430
613353002120
72260565013
oct563054440
9223036583
1097278240
114aa02644
12286b3340
13171cc9b7
14ccc337a
1588182b0
hex5cc5920

97278240 has 96 divisors (see below), whose sum is σ = 313963776. Its totient is φ = 25303040.

The previous prime is 97278239. The next prime is 97278257. The reversal of 97278240 is 4287279.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17209 + ... + 22151.

It is an arithmetic number, because the mean of its divisors is an integer number (3270456).

Almost surely, 297278240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156981888).

97278240 is an abundant number, since it is smaller than the sum of its proper divisors (216685536).

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

97278240 is a wasteful number, since it uses less digits than its factorization.

97278240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 97278240 is about 9862.9731825652. The cubic root of 97278240 is about 459.9089927082.

The spelling of 97278240 in words is "ninety-seven million, two hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 4943 6560 9840 9886 14829 19680 19772 24715 29658 39544 49430 59316 74145 79088 98860 118632 148290 158176 197720 202663 237264 296580 395440 405326 474528 593160 607989 790880 810652 1013315 1186320 1215978 1621304 2026630 2372640 2431956 3039945 3242608 4053260 4863912 6079890 6485216 8106520 9727824 12159780 16213040 19455648 24319560 32426080 48639120 97278240