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97412480 = 27511101137
BaseRepresentation
bin1011100111001…
…10010110000000
320210022001210122
411303212112000
5144414144410
613355515412
72261664254
oct563462600
9223261718
1097412480
114aa94490
1228758b68
1317248b29
14cd1a264
158842e55
hex5ce6580

97412480 has 128 divisors (see below), whose sum is σ = 258435360. Its totient is φ = 34816000.

The previous prime is 97412473. The next prime is 97412519. The reversal of 97412480 is 8421479.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 97412480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710972 + ... + 711108.

Almost surely, 297412480 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 97412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129217680).

97412480 is an abundant number, since it is smaller than the sum of its proper divisors (161022880).

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

97412480 is a wasteful number, since it uses less digits than its factorization.

97412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 97412480 is about 9869.7760866192. The cubic root of 97412480 is about 460.1204473501.

It can be divided in two parts, 9741 and 2480, that added together give a palindrome (12221).

The spelling of 97412480 in words is "ninety-seven million, four hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 137 160 176 202 220 274 320 352 404 440 505 548 640 685 704 808 880 1010 1096 1111 1370 1408 1507 1616 1760 2020 2192 2222 2740 3014 3232 3520 4040 4384 4444 5480 5555 6028 6464 7040 7535 8080 8768 8888 10960 11110 12056 12928 13837 15070 16160 17536 17776 21920 22220 24112 27674 30140 32320 35552 43840 44440 48224 55348 60280 64640 69185 71104 87680 88880 96448 110696 120560 138370 142208 152207 177760 192896 221392 241120 276740 304414 355520 442784 482240 553480 608828 711040 761035 885568 964480 1106960 1217656 1522070 1771136 2213920 2435312 3044140 4427840 4870624 6088280 8855680 9741248 12176560 19482496 24353120 48706240 97412480