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97097840 = 2457414229
BaseRepresentation
bin1011100100110…
…01100001110000
320202201002012022
411302121201300
5144324112330
613345051012
72256214040
oct562314160
9222632168
1097097840
114a89a054
1228626a68
1317168858
14cc77720
1587ceae5
hex5c99870

97097840 has 80 divisors (see below), whose sum is σ = 264358080. Its totient is φ = 32471040.

The previous prime is 97097839. The next prime is 97097851. The reversal of 97097840 is 4879079.

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

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 97097791 and 97097800.

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, 20846 + ... + 25074.

It is an arithmetic number, because the mean of its divisors is an integer number (3304476).

Almost surely, 297097840 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 97097840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132179040).

97097840 is an abundant number, since it is smaller than the sum of its proper divisors (167260240).

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

97097840 is a wasteful number, since it uses less digits than its factorization.

97097840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 97097840 is about 9853.8236233454. The cubic root of 97097840 is about 459.6245203113.

The spelling of 97097840 in words is "ninety-seven million, ninety-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4229 4592 5740 8458 11480 16916 21145 22960 29603 33832 42290 59206 67664 84580 118412 148015 169160 173389 236824 296030 338320 346778 473648 592060 693556 866945 1184120 1213723 1387112 1733890 2368240 2427446 2774224 3467780 4854892 6068615 6935560 9709784 12137230 13871120 19419568 24274460 48548920 97097840