Search a number
-
+
97093120 = 295172397
BaseRepresentation
bin1011100100110…
…00011000000000
320202200211201111
411302120120000
5144323434440
613345013104
72256164215
oct562303000
9222624644
1097093120
114a896553
1228624194
1317166667
14cc75b0c
1587cd4ea
hex5c98600

97093120 has 160 divisors (see below), whose sum is σ = 259858368. Its totient is φ = 34603008.

The previous prime is 97093111. The next prime is 97093141. The reversal of 97093120 is 2139079.

It is a tau number, because it is divible by the number of its divisors (160).

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, 1000912 + ... + 1001008.

Almost surely, 297093120 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 97093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129929184).

97093120 is an abundant number, since it is smaller than the sum of its proper divisors (162765248).

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

97093120 is a wasteful number, since it uses less digits than its factorization.

97093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 97093120 is about 9853.5841194968. The cubic root of 97093120 is about 459.6170726246.

The spelling of 97093120 in words is "ninety-seven million, ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 64 68 80 85 92 97 115 128 136 160 170 184 194 230 256 272 320 340 368 388 391 460 485 512 544 640 680 736 776 782 920 970 1088 1280 1360 1472 1552 1564 1649 1840 1940 1955 2176 2231 2560 2720 2944 3104 3128 3298 3680 3880 3910 4352 4462 5440 5888 6208 6256 6596 7360 7760 7820 8245 8704 8924 10880 11155 11776 12416 12512 13192 14720 15520 15640 16490 17848 21760 22310 24832 25024 26384 29440 31040 31280 32980 35696 37927 43520 44620 49664 50048 52768 58880 62080 62560 65960 71392 75854 89240 100096 105536 124160 125120 131920 142784 151708 178480 189635 200192 211072 248320 250240 263840 285568 303416 356960 379270 422144 500480 527680 571136 606832 713920 758540 844288 1000960 1055360 1142272 1213664 1427840 1517080 2110720 2427328 2855680 3034160 4221440 4854656 5711360 6068320 9709312 12136640 19418624 24273280 48546560 97093120