Search a number
-
+
97207936 = 277235389
BaseRepresentation
bin1011100101101…
…00011010000000
320202220200012221
411302310122000
5144341123221
613351300424
72260153030
oct562643200
9222820187
1097207936
114a964841
122867a714
13171a69b7
14cca58c0
158802541
hex5cb4680

97207936 has 128 divisors (see below), whose sum is σ = 237945600. Its totient is φ = 38658048.

The previous prime is 97207927. The next prime is 97207949. The reversal of 97207936 is 63970279.

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

It is a junction number, because it is equal to n+sod(n) for n = 97207892 and 97207901.

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, 1092180 + ... + 1092268.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 297207936 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 97207936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118972800).

97207936 is an abundant number, since it is smaller than the sum of its proper divisors (140737664).

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

97207936 is a wasteful number, since it uses less digits than its factorization.

97207936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 43.

The square root of 97207936 is about 9859.4085015279. The cubic root of 97207936 is about 459.7981723295.

The spelling of 97207936 in words is "ninety-seven million, two hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 53 56 64 89 92 106 112 128 161 178 184 212 224 322 356 368 371 424 448 623 644 712 736 742 848 896 1219 1246 1288 1424 1472 1484 1696 2047 2438 2492 2576 2848 2944 2968 3392 4094 4717 4876 4984 5152 5696 5936 6784 8188 8533 9434 9752 9968 10304 11392 11872 14329 16376 17066 18868 19504 19936 20608 23744 28658 32752 33019 34132 37736 39008 39872 47488 57316 65504 66038 68264 75472 78016 79744 108491 114632 131008 132076 136528 150944 156032 216982 229264 262016 264152 273056 301888 433964 458528 528304 546112 603776 759437 867928 917056 1056608 1092224 1518874 1735856 1834112 2113216 3037748 3471712 4226432 6075496 6943424 12150992 13886848 24301984 48603968 97207936