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97076240 = 24559131157
BaseRepresentation
bin1011100100101…
…00010000010000
320202122222120022
411302110100100
5144322414430
613344403012
72256064052
oct562242020
9222588508
1097076240
114a8848a8
1228616468
131715ba81
14cc6d8d2
1587c84e5
hex5c94410

97076240 has 80 divisors (see below), whose sum is σ = 232752960. Its totient is φ = 37639680.

The previous prime is 97076237. The next prime is 97076249. The reversal of 97076240 is 4267079.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 97076240.

It is not an unprimeable number, because it can be changed into a prime (97076249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618242 + ... + 618398.

It is an arithmetic number, because the mean of its divisors is an integer number (2909412).

Almost surely, 297076240 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 97076240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116376480).

97076240 is an abundant number, since it is smaller than the sum of its proper divisors (135676720).

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

97076240 is a wasteful number, since it uses less digits than its factorization.

97076240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 97076240 is about 9852.7275411431. The cubic root of 97076240 is about 459.5904357018.

The spelling of 97076240 in words is "ninety-seven million, seventy-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 131 157 236 262 295 314 472 524 590 628 655 785 944 1048 1180 1256 1310 1570 2096 2360 2512 2620 3140 4720 5240 6280 7729 9263 10480 12560 15458 18526 20567 30916 37052 38645 41134 46315 61832 74104 77290 82268 92630 102835 123664 148208 154580 164536 185260 205670 309160 329072 370520 411340 618320 741040 822680 1213453 1645360 2426906 4853812 6067265 9707624 12134530 19415248 24269060 48538120 97076240