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97732096 = 297113767
BaseRepresentation
bin1011101001101…
…00011000000000
320210220022020021
411310310120000
5200004411341
613410423224
72264465140
oct564643000
9223808207
1097732096
1150192630
1228891b14
131732b457
14cda0920
1588a79d1
hex5d34600

97732096 has 160 divisors (see below), whose sum is σ = 253769472. Its totient is φ = 36495360.

The previous prime is 97732093. The next prime is 97732097. The reversal of 97732096 is 69023779.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97732091) 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, 1458655 + ... + 1458721.

Almost surely, 297732096 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 97732096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126884736).

97732096 is an abundant number, since it is smaller than the sum of its proper divisors (156037376).

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

97732096 is a wasteful number, since it uses less digits than its factorization.

97732096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

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

The square root of 97732096 is about 9885.9544809796. The cubic root of 97732096 is about 460.6231252750.

The spelling of 97732096 in words is "ninety-seven million, seven hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 64 67 74 77 88 112 128 134 148 154 176 224 256 259 268 296 308 352 407 448 469 512 518 536 592 616 704 737 814 896 938 1036 1072 1184 1232 1408 1474 1628 1792 1876 2072 2144 2368 2464 2479 2816 2849 2948 3256 3584 3752 4144 4288 4736 4928 4958 5159 5632 5698 5896 6512 7504 8288 8576 9472 9856 9916 10318 11396 11792 13024 15008 16576 17152 17353 18944 19712 19832 20636 22792 23584 26048 27269 30016 33152 34304 34706 39424 39664 41272 45584 47168 52096 54538 60032 66304 69412 79328 82544 91168 94336 104192 109076 120064 132608 138824 158656 165088 182336 188672 190883 208384 218152 240128 277648 317312 330176 364672 377344 381766 436304 555296 634624 660352 729344 763532 872608 1110592 1269248 1320704 1458688 1527064 1745216 2221184 2641408 3054128 3490432 4442368 6108256 6980864 8884736 12216512 13961728 24433024 48866048 97732096