Search a number
-
+
97714350 = 23452231049
BaseRepresentation
bin1011101001100…
…00000010101110
320210212101220000
411310300002232
5200003324400
613410205130
72264362326
oct564600256
9223771800
1097714350
1150180268
12288837a6
1317323356
14cd98286
1588a2600
hex5d300ae

97714350 has 120 divisors (see below), whose sum is σ = 283575600. Its totient is φ = 24900480.

The previous prime is 97714339. The next prime is 97714391. The reversal of 97714350 is 5341779.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 92626 + ... + 93674.

It is an arithmetic number, because the mean of its divisors is an integer number (2363130).

Almost surely, 297714350 is an apocalyptic number.

97714350 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97714350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141787800).

97714350 is an abundant number, since it is smaller than the sum of its proper divisors (185861250).

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

97714350 is a wasteful number, since it uses less digits than its factorization.

97714350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 97714350 is about 9885.0569042368. The cubic root of 97714350 is about 460.5952439098.

The spelling of 97714350 in words is "ninety-seven million, seven hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 81 90 115 135 138 150 162 207 225 230 270 345 405 414 450 575 621 675 690 810 1035 1049 1150 1242 1350 1725 1863 2025 2070 2098 3105 3147 3450 3726 4050 5175 5245 6210 6294 9315 9441 10350 10490 15525 15735 18630 18882 24127 26225 28323 31050 31470 46575 47205 48254 52450 56646 72381 78675 84969 93150 94410 120635 141615 144762 157350 169938 217143 236025 241270 283230 361905 424845 434286 472050 603175 651429 708075 723810 849690 1085715 1206350 1302858 1416150 1809525 1954287 2124225 2171430 3257145 3619050 3908574 4248450 5428575 6514290 9771435 10857150 16285725 19542870 32571450 48857175 97714350