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97530216 = 23373161307
BaseRepresentation
bin1011101000000…
…11000101101000
320210112001022020
411310003011220
5144431431331
613402224440
72262664440
oct564030550
9223461266
1097530216
1150064993
12287b5120
131728a5b4
14cd4b120
158867c96
hex5d03168

97530216 has 128 divisors (see below), whose sum is σ = 293314560. Its totient is φ = 26438400.

The previous prime is 97530203. The next prime is 97530233. The reversal of 97530216 is 61203579.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 317535 + ... + 317841.

It is an arithmetic number, because the mean of its divisors is an integer number (2291520).

Almost surely, 297530216 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 97530216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146657280).

97530216 is an abundant number, since it is smaller than the sum of its proper divisors (195784344).

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

97530216 is a wasteful number, since it uses less digits than its factorization.

97530216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 97530216 is about 9875.7387571766. The cubic root of 97530216 is about 460.3057450677.

The spelling of 97530216 in words is "ninety-seven million, five hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 61 62 84 93 122 124 168 183 186 217 244 248 307 366 372 427 434 488 614 651 732 744 854 868 921 1228 1281 1302 1464 1708 1736 1842 1891 2149 2456 2562 2604 3416 3684 3782 4298 5124 5208 5673 6447 7368 7564 8596 9517 10248 11346 12894 13237 15128 17192 18727 19034 22692 25788 26474 28551 37454 38068 39711 45384 51576 52948 56181 57102 66619 74908 76136 79422 105896 112362 114204 131089 133238 149816 158844 199857 224724 228408 262178 266476 317688 393267 399714 449448 524356 532952 580537 786534 799428 1048712 1161074 1573068 1598856 1741611 2322148 3146136 3483222 4063759 4644296 6966444 8127518 12191277 13932888 16255036 24382554 32510072 48765108 97530216